100011000012121 has 16 divisors (see below), whose sum is σ = 115521069214080. Its totient is φ = 85570655822080.

The previous prime is 100011000012109. The next prime is 100011000012163. The reversal of 100011000012121 is 121210000110001.

It is not a de Polignac number, because 100011000012121 - 2⁵ = 100011000012089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100011000012098 and 100011000012107.

It is not an unprimeable number, because it can be changed into a prime (100011000012191) 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, 90850815 + ... + 91945051.

It is an arithmetic number, because the mean of its divisors is an integer number (7220066825880).

Almost surely, 2^{100011000012121} is an apocalyptic number.

100011000012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100011000012121 is a deficient number, since it is larger than the sum of its proper divisors (15510069201959).

100011000012121 is a wasteful number, since it uses less digits than its factorization.

100011000012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583024.

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

Adding to 100011000012121 its reverse (121210000110001), we get a palindrome (221221000122122).

The spelling of 100011000012121 in words is "one hundred trillion, eleven billion, twelve thousand, one hundred twenty-one".