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10222012122201 = 35113824172137
BaseRepresentation
bin1001010010111111111101…
…1001101100010001011001
31100012012210121012121100000
42110233333121230101121
52314434140100402301
633423532203203213
72103341663265555
oct224577731542131
940165717177300
1010222012122201
1132911493a0450
121191117216509
13591c15982179
14274a68828865
1512ad70adc786
hex94bff66c459

10222012122201 has 24 divisors (see below), whose sum is σ = 16703983898784. Its totient is φ = 6195158860320.

The previous prime is 10222012122173. The next prime is 10222012122227. The reversal of 10222012122201 is 10222121022201.

It is a happy number.

10222012122201 is a `hidden beast` number, since 10 + 2 + 220 + 1 + 212 + 220 + 1 = 666.

It is not a de Polignac number, because 10222012122201 - 214 = 10222012105817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10222012122251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1912083396 + ... + 1912088741.

It is an arithmetic number, because the mean of its divisors is an integer number (695999329116).

Almost surely, 210222012122201 is an apocalyptic number.

10222012122201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10222012122201 is a deficient number, since it is larger than the sum of its proper divisors (6481971776583).

10222012122201 is an equidigital number, since it uses as much as digits as its factorization.

10222012122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3824172163 (or 3824172151 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10222012122201 its reverse (10222121022201), we get a palindrome (20444133144402).

The spelling of 10222012122201 in words is "ten trillion, two hundred twenty-two billion, twelve million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 2673 3824172137 11472516411 34417549233 42065893507 103252647699 126197680521 309757943097 378593041563 929273829291 1135779124689 3407337374067 10222012122201