11102312114000 has 160 divisors (see below), whose sum is σ = 27114455397120. Its totient is φ = 4396441536000.

The previous prime is 11102312113973. The next prime is 11102312114041. The reversal of 11102312114000 is 41121320111.

11102312114000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11102312114000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11102312114000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 893827790 + ... + 893840210.

It is an arithmetic number, because the mean of its divisors is an integer number (169465346232).

Almost surely, 2^{11102312114000} is an apocalyptic number.

11102312114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11102312114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13557227698560).

11102312114000 is an abundant number, since it is smaller than the sum of its proper divisors (16012143283120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11102312114000 is a wasteful number, since it uses less digits than its factorization.

11102312114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16886 (or 16870 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 11102312114000 its reverse (41121320111), we get a palindrome (11143433434111).

The spelling of 11102312114000 in words is "eleven trillion, one hundred two billion, three hundred twelve million, one hundred fourteen thousand".