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2102022201001 is a prime number
BaseRepresentation
bin11110100101101010010…
…010010101111010101001
321102221200112121122111011
4132211222102111322221
5233414420140413001
64245353342503521
7304603032622222
oct36455222257251
97387615548434
102102022201001
1174050a807488
1229b476b94ba1
131232b1cc2348
1473a4a308249
1539a29a12d51
hex1e96a495ea9

2102022201001 has 2 divisors, whose sum is σ = 2102022201002. Its totient is φ = 2102022201000.

The previous prime is 2102022200851. The next prime is 2102022201067. The reversal of 2102022201001 is 1001022202012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1436884087401 + 665138113600 = 1198701^2 + 815560^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102022201001 - 29 = 2102022200489 is a prime.

It is a super-3 number, since 3×21020222010013 (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2102022207001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051011100500 + 1051011100501.

It is an arithmetic number, because the mean of its divisors is an integer number (1051011100501).

Almost surely, 22102022201001 is an apocalyptic number.

It is an amenable number.

2102022201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102022201001 is an equidigital number, since it uses as much as digits as its factorization.

2102022201001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2102022201001 its reverse (1001022202012), we get a palindrome (3103044403013).

The spelling of 2102022201001 in words is "two trillion, one hundred two billion, twenty-two million, two hundred one thousand, one".