100102011121 has 32 divisors (see below), whose sum is σ = 118472428800. Its totient is φ = 82800748800.

The previous prime is 100102011103. The next prime is 100102011133. The reversal of 100102011121 is 121110201001.

It is not a de Polignac number, because 100102011121 - 2⁹ = 100102010609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102011098 and 100102011107.

It is not an unprimeable number, because it can be changed into a prime (100102011521) 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, 15470875 + ... + 15477343.

It is an arithmetic number, because the mean of its divisors is an integer number (3702263400).

Almost surely, 2^100102011121 is an apocalyptic number.

It is an amenable number.

100102011121 is a deficient number, since it is larger than the sum of its proper divisors (18370417679).

100102011121 is a wasteful number, since it uses less digits than its factorization.

100102011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7129.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100102011121 its reverse (121110201001), we get a palindrome (221212212122).

The spelling of 100102011121 in words is "one hundred billion, one hundred two million, eleven thousand, one hundred twenty-one".