100010111111111 has 16 divisors (see below), whose sum is σ = 101463288403968. Its totient is φ = 98558181691200.

The previous prime is 100010111111051. The next prime is 100010111111147. The reversal of 100010111111111 is 111111111010001.

It is a cyclic number.

It is not a de Polignac number, because 100010111111111 - 2²⁶ = 100010044002247 is a prime.

It is a Duffinian number.

100010111111111 is a modest number, since divided by 11111111 gives 1000101 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 100010111111092 and 100010111111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010111111411) 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, 1758947795 + ... + 1759004651.

It is an arithmetic number, because the mean of its divisors is an integer number (6341455525248).

Almost surely, 2^{100010111111111} is an apocalyptic number.

100010111111111 is a deficient number, since it is larger than the sum of its proper divisors (1453177292857).

100010111111111 is an equidigital number, since it uses as much as digits as its factorization.

100010111111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67382.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 100010111111111 its reverse (111111111010001), we get a palindrome (211121222121112).

The spelling of 100010111111111 in words is "one hundred trillion, ten billion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".