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10101211121 is a prime number
BaseRepresentation
bin10010110100001010…
…00011111111110001
3222001222012200200102
421122011003333301
5131141402223441
64350200002145
7505213610051
oct113205037761
928058180612
1010101211121
114313963471
121b5aa60355
13c4c966301
146bb78b561
153e1c0169b
hex25a143ff1

10101211121 has 2 divisors, whose sum is σ = 10101211122. Its totient is φ = 10101211120.

The previous prime is 10101211103. The next prime is 10101211157. The reversal of 10101211121 is 12111210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6669008896 + 3432202225 = 81664^2 + 58585^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101211121 - 222 = 10097016817 is a prime.

It is a super-2 number, since 2×101012111212 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10101211721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050605560 + 5050605561.

It is an arithmetic number, because the mean of its divisors is an integer number (5050605561).

Almost surely, 210101211121 is an apocalyptic number.

It is an amenable number.

10101211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101211121 is an equidigital number, since it uses as much as digits as its factorization.

10101211121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10101211121 its reverse (12111210101), we get a palindrome (22212421222).

The spelling of 10101211121 in words is "ten billion, one hundred one million, two hundred eleven thousand, one hundred twenty-one".