101122102000121 has 16 divisors (see below), whose sum is σ = 102549156433920. Its totient is φ = 99705144692160.

The previous prime is 101122102000103. The next prime is 101122102000133. The reversal of 101122102000121 is 121000201221101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101122102000121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101122102000096 and 101122102000105.

It is not an unprimeable number, because it can be changed into a prime (101122102000141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106015595 + ... + 106965183.

It is an arithmetic number, because the mean of its divisors is an integer number (6409322277120).

Almost surely, 2^{101122102000121} is an apocalyptic number.

It is an amenable number.

101122102000121 is a deficient number, since it is larger than the sum of its proper divisors (1427054433799).

101122102000121 is a wasteful number, since it uses less digits than its factorization.

101122102000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954904.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101122102000121 its reverse (121000201221101), we get a palindrome (222122303221222).

The spelling of 101122102000121 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred two million, one hundred twenty-one", and thus it is an aban number.