100101122121 has 96 divisors (see below), whose sum is σ = 185441853184. Its totient is φ = 46702656000.

The previous prime is 100101122113. The next prime is 100101122131. The reversal of 100101122121 is 121221101001.

It is not a de Polignac number, because 100101122121 - 2³ = 100101122113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101122097 and 100101122106.

It is not an unprimeable number, because it can be changed into a prime (100101122131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1181271 + ... + 1263171.

Almost surely, 2^100101122121 is an apocalyptic number.

100101122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101122121 is a deficient number, since it is larger than the sum of its proper divisors (85340731063).

100101122121 is a wasteful number, since it uses less digits than its factorization.

100101122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81983 (or 81972 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100101122121 its reverse (121221101001), we get a palindrome (221322223122).

It can be divided in two parts, 100101 and 122121, that added together give a palindrome (222222).

The spelling of 100101122121 in words is "one hundred billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty-one".