100012111111121 has 32 divisors (see below), whose sum is σ = 110070450339840. Its totient is φ = 90118711065600.

The previous prime is 100012111111117. The next prime is 100012111111123. The reversal of 100012111111121 is 121111111210001.

It is a cyclic number.

It is not a de Polignac number, because 100012111111121 - 2² = 100012111111117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100012111111096 and 100012111111105.

It is not an unprimeable number, because it can be changed into a prime (100012111111123) 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, 886332176 + ... + 886445006.

It is an arithmetic number, because the mean of its divisors is an integer number (3439701573120).

Almost surely, 2^{100012111111121} is an apocalyptic number.

100012111111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100012111111121 is a deficient number, since it is larger than the sum of its proper divisors (10058339228719).

100012111111121 is a wasteful number, since it uses less digits than its factorization.

100012111111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114557.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 100012111111121 its reverse (121111111210001), we get a palindrome (221123222321122).

The spelling of 100012111111121 in words is "one hundred trillion, twelve billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty-one".