100110111212013 has 16 divisors (see below), whose sum is σ = 153036117073536. Its totient is φ = 57023011768320.

The previous prime is 100110111211973. The next prime is 100110111212047. The reversal of 100110111212013 is 310212111011001.

It is not a de Polignac number, because 100110111212013 - 2²² = 100110107017709 is a prime.

It is a super-2 number, since 2×100110111212013² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100110111211983 and 100110111212001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110111212413) 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, 7615246068 + ... + 7615259213.

It is an arithmetic number, because the mean of its divisors is an integer number (9564757317096).

Almost surely, 2^{100110111212013} is an apocalyptic number.

It is an amenable number.

100110111212013 is a deficient number, since it is larger than the sum of its proper divisors (52926005861523).

100110111212013 is a wasteful number, since it uses less digits than its factorization.

100110111212013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15230505604.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 100110111212013 its reverse (310212111011001), we get a palindrome (410322222223014).

The spelling of 100110111212013 in words is "one hundred trillion, one hundred ten billion, one hundred eleven million, two hundred twelve thousand, thirteen".