100122110102121 has 16 divisors (see below), whose sum is σ = 137104460529600. Its totient is φ = 64943924689728.

The previous prime is 100122110102099. The next prime is 100122110102141. The reversal of 100122110102121 is 121201011221001.

It is a happy number.

It is not a de Polignac number, because 100122110102121 - 2¹¹ = 100122110100073 is a prime.

It is a super-3 number, since 3×100122110102121³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100122110102121.

It is not an unprimeable number, because it can be changed into a prime (100122110102141) 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, 71436990 + ... + 72825048.

It is an arithmetic number, because the mean of its divisors is an integer number (8569028783100).

Almost surely, 2^{100122110102121} is an apocalyptic number.

It is an amenable number.

100122110102121 is a deficient number, since it is larger than the sum of its proper divisors (36982350427479).

100122110102121 is a wasteful number, since it uses less digits than its factorization.

100122110102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037928.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100122110102121 its reverse (121201011221001), we get a palindrome (221323121323122).

The spelling of 100122110102121 in words is "one hundred trillion, one hundred twenty-two billion, one hundred ten million, one hundred two thousand, one hundred twenty-one".