100111100111121 has 32 divisors (see below), whose sum is σ = 145857083420160. Its totient is φ = 60573052713600.

The previous prime is 100111100111111. The next prime is 100111100111129. The reversal of 100111100111121 is 121111001111001.

100111100111121 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100111100111121 - 2²² = 100111095916817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111100111097 and 100111100111106.

It is not an unprimeable number, because it can be changed into a prime (100111100111129) 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, 80616901 + ... + 81849293.

It is an arithmetic number, because the mean of its divisors is an integer number (4558033856880).

Almost surely, 2^{100111100111121} is an apocalyptic number.

100111100111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111100111121 is a deficient number, since it is larger than the sum of its proper divisors (45745983309039).

100111100111121 is a wasteful number, since it uses less digits than its factorization.

100111100111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236477.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 100111100111121 its reverse (121111001111001), we get a palindrome (221222101222122).

The spelling of 100111100111121 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one hundred eleven thousand, one hundred twenty-one".