100102110121 has 16 divisors (see below), whose sum is σ = 110986646400. Its totient is φ = 89695140480.

The previous prime is 100102110113. The next prime is 100102110131. The reversal of 100102110121 is 121011201001.

It is a cyclic number.

It is not a de Polignac number, because 100102110121 - 2³ = 100102110113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102110098 and 100102110107.

It is not an unprimeable number, because it can be changed into a prime (100102110131) 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, 365815 + ... + 577948.

It is an arithmetic number, because the mean of its divisors is an integer number (6936665400).

Almost surely, 2^100102110121 is an apocalyptic number.

It is an amenable number.

100102110121 is a deficient number, since it is larger than the sum of its proper divisors (10884536279).

100102110121 is a wasteful number, since it uses less digits than its factorization.

100102110121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944016.

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

Adding to 100102110121 its reverse (121011201001), we get a palindrome (221113311122).

The spelling of 100102110121 in words is "one hundred billion, one hundred two million, one hundred ten thousand, one hundred twenty-one".