100123121021 has 32 divisors (see below), whose sum is σ = 126637074432. Its totient is φ = 76895300160.

The previous prime is 100123121011. The next prime is 100123121027. The reversal of 100123121021 is 120121321001.

It is not a de Polignac number, because 100123121021 - 2⁶ = 100123120957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100123120987 and 100123121005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123121027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1592240 + ... + 1653926.

It is an arithmetic number, because the mean of its divisors is an integer number (3957408576).

Almost surely, 2^100123121021 is an apocalyptic number.

100123121021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100123121021 is a deficient number, since it is larger than the sum of its proper divisors (26513953411).

100123121021 is a wasteful number, since it uses less digits than its factorization.

100123121021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62009.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100123121021 its reverse (120121321001), we get a palindrome (220244442022).

The spelling of 100123121021 in words is "one hundred billion, one hundred twenty-three million, one hundred twenty-one thousand, twenty-one".