100111101101121 has 32 divisors (see below), whose sum is σ = 147347444514816. Its totient is φ = 59955827400000.

The previous prime is 100111101101117. The next prime is 100111101101171. The reversal of 100111101101121 is 121101101111001.

It is not a de Polignac number, because 100111101101121 - 2² = 100111101101117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111101101097 and 100111101101106.

It is not an unprimeable number, because it can be changed into a prime (100111101101111) 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, 46532050 + ... + 48635931.

It is an arithmetic number, because the mean of its divisors is an integer number (4604607641088).

Almost surely, 2^{100111101101121} is an apocalyptic number.

100111101101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111101101121 is a deficient number, since it is larger than the sum of its proper divisors (47236343413695).

100111101101121 is a wasteful number, since it uses less digits than its factorization.

100111101101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95168373.

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

Adding to 100111101101121 its reverse (121101101111001), we get a palindrome (221212202212122).

The spelling of 100111101101121 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred one thousand, one hundred twenty-one".