1102114112011 has 72 divisors (see below), whose sum is σ = 1321275182976. Its totient is φ = 915108480000.

The previous prime is 1102114111957. The next prime is 1102114112101.

It is a happy number.

1102114112011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1102114112011 - 2²¹ = 1102112014859 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1102114112711) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1112122726 + ... + 1112123716.

It is an arithmetic number, because the mean of its divisors is an integer number (18351044208).

Almost surely, 2^{1102114112011} is an apocalyptic number.

1102114112011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1102114112011 is a deficient number, since it is larger than the sum of its proper divisors (219161070965).

1102114112011 is a wasteful number, since it uses less digits than its factorization.

1102114112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

The spelling of 1102114112011 in words is "one trillion, one hundred two billion, one hundred fourteen million, one hundred twelve thousand, eleven".