100100112000111 has 24 divisors (see below), whose sum is σ = 144679855258224. Its totient is φ = 66691510045440.

The previous prime is 100100112000107. The next prime is 100100112000121. The reversal of 100100112000111 is 111000211001001.

It is not a de Polignac number, because 100100112000111 - 2² = 100100112000107 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100100112000093 and 100100112000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100112000121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101552845 + ... + 102533801.

It is an arithmetic number, because the mean of its divisors is an integer number (6028327302426).

Almost surely, 2^{100100112000111} is an apocalyptic number.

100100112000111 is a deficient number, since it is larger than the sum of its proper divisors (44579743258113).

100100112000111 is a wasteful number, since it uses less digits than its factorization.

100100112000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988071 (or 988068 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100100112000111 its reverse (111000211001001), we get a palindrome (211100323001112).

The spelling of 100100112000111 in words is "one hundred trillion, one hundred billion, one hundred twelve million, one hundred eleven", and thus it is an aban number.