101122100121 has 48 divisors (see below), whose sum is σ = 164827886784. Its totient is φ = 54914702976.

The previous prime is 101122100117. The next prime is 101122100129. The reversal of 101122100121 is 121001221101.

It is not a de Polignac number, because 101122100121 - 2² = 101122100117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101122100097 and 101122100106.

It is not an unprimeable number, because it can be changed into a prime (101122100129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17691 + ... + 450063.

It is an arithmetic number, because the mean of its divisors is an integer number (3433914308).

Almost surely, 2^101122100121 is an apocalyptic number.

It is an amenable number.

101122100121 is a deficient number, since it is larger than the sum of its proper divisors (63705786663).

101122100121 is a wasteful number, since it uses less digits than its factorization.

101122100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432470 (or 432463 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101122100121 its reverse (121001221101), we get a palindrome (222123321222).

The spelling of 101122100121 in words is "one hundred one billion, one hundred twenty-two million, one hundred thousand, one hundred twenty-one".