100000000101111 has 16 divisors (see below), whose sum is σ = 145456831123968. Its totient is φ = 60605108366400.

The previous prime is 100000000101107. The next prime is 100000000101179. The reversal of 100000000101111 is 111101000000001.

It is not a de Polignac number, because 100000000101111 - 2² = 100000000101107 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100000000101111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000000101191) 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, 21672670 + ... + 25878651.

It is an arithmetic number, because the mean of its divisors is an integer number (9091051945248).

Almost surely, 2^{100000000101111} is an apocalyptic number.

100000000101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100000000101111 is a deficient number, since it is larger than the sum of its proper divisors (45456831022857).

100000000101111 is a wasteful number, since it uses less digits than its factorization.

100000000101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47615062.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100000000101111 its reverse (111101000000001), we get a palindrome (211101000101112).

The spelling of 100000000101111 in words is "one hundred trillion, one hundred one thousand, one hundred eleven".