101122121221101 has 48 divisors (see below), whose sum is σ = 151514753689728. Its totient is φ = 64936229904000.

The previous prime is 101122121221039. The next prime is 101122121221109.

It is a happy number.

101122121221101 is a `hidden beast` number, since 10 + 11 + 221 + 212 + 211 + 0 + 1 = 666.

101122121221101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101122121221101 - 2³⁷ = 100984682267629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122121221109) 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, 318244816 + ... + 318562406.

It is an arithmetic number, because the mean of its divisors is an integer number (3156557368536).

Almost surely, 2^{101122121221101} is an apocalyptic number.

It is an amenable number.

101122121221101 is a deficient number, since it is larger than the sum of its proper divisors (50392632468627).

101122121221101 is a wasteful number, since it uses less digits than its factorization.

101122121221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327202 (or 327199 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 101122121221101 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred one".