100021112121 has 64 divisors (see below), whose sum is σ = 162037739520. Its totient is φ = 53608262400.

The previous prime is 100021112119. The next prime is 100021112129. The reversal of 100021112121 is 121211120001.

It is not a de Polignac number, because 100021112121 - 2¹ = 100021112119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100021112097 and 100021112106.

It is not an unprimeable number, because it can be changed into a prime (100021112129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19096315 + ... + 19101551.

It is an arithmetic number, because the mean of its divisors is an integer number (2531839680).

Almost surely, 2^100021112121 is an apocalyptic number.

It is an amenable number.

100021112121 is a deficient number, since it is larger than the sum of its proper divisors (62016627399).

100021112121 is a wasteful number, since it uses less digits than its factorization.

100021112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5734.

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

Adding to 100021112121 its reverse (121211120001), we get a palindrome (221232232122).

The spelling of 100021112121 in words is "one hundred billion, twenty-one million, one hundred twelve thousand, one hundred twenty-one".