100100022121 has 16 divisors (see below), whose sum is σ = 110105568000. Its totient is φ = 90247321600.

The previous prime is 100100022103. The next prime is 100100022131. The reversal of 100100022121 is 121220001001.

It is a cyclic number.

It is not a de Polignac number, because 100100022121 - 2¹¹ = 100100020073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100022098 and 100100022107.

It is not an unprimeable number, because it can be changed into a prime (100100022131) 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, 1002960 + ... + 1098238.

It is an arithmetic number, because the mean of its divisors is an integer number (6881598000).

Almost surely, 2^100100022121 is an apocalyptic number.

100100022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100022121 is a deficient number, since it is larger than the sum of its proper divisors (10005545879).

100100022121 is a wasteful number, since it uses less digits than its factorization.

100100022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96080.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100100022121 its reverse (121220001001), we get a palindrome (221320023122).

The spelling of 100100022121 in words is "one hundred billion, one hundred million, twenty-two thousand, one hundred twenty-one".