100101112000011 has 80 divisors (see below), whose sum is σ = 163810760430240. Its totient is φ = 60634862668800.

The previous prime is 100101111999919. The next prime is 100101112000027. The reversal of 100101112000011 is 110000211101001.

It is not a de Polignac number, because 100101112000011 - 2¹⁴ = 100101111983627 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 = 100101111999957 and 100101112000002.

It is not an unprimeable number, because it can be changed into a prime (100101112000051) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 315352000 + ... + 315669266.

It is an arithmetic number, because the mean of its divisors is an integer number (2047634505378).

Almost surely, 2^{100101112000011} is an apocalyptic number.

100101112000011 is a deficient number, since it is larger than the sum of its proper divisors (63709648430229).

100101112000011 is a wasteful number, since it uses less digits than its factorization.

100101112000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325226 (or 325217 counting only the distinct ones).

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

Adding to 100101112000011 its reverse (110000211101001), we get a palindrome (210101323101012).

The spelling of 100101112000011 in words is "one hundred trillion, one hundred one billion, one hundred twelve million, eleven", and thus it is an aban number.