100121111121 has 16 divisors (see below), whose sum is σ = 134553798720. Its totient is φ = 66218218560.

The previous prime is 100121111117. The next prime is 100121111179. The reversal of 100121111121 is 121111121001.

It is not a de Polignac number, because 100121111121 - 2² = 100121111117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100121111097 and 100121111106.

It is not an unprimeable number, because it can be changed into a prime (100121111191) 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, 1352415 + ... + 1424523.

It is an arithmetic number, because the mean of its divisors is an integer number (8409612420).

Almost surely, 2^100121111121 is an apocalyptic number.

It is an amenable number.

100121111121 is a deficient number, since it is larger than the sum of its proper divisors (34432687599).

100121111121 is a wasteful number, since it uses less digits than its factorization.

100121111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75776.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100121111121 its reverse (121111121001), we get a palindrome (221232232122).

The spelling of 100121111121 in words is "one hundred billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty-one".