10011111110112 has 96 divisors (see below), whose sum is σ = 30048731080704. Its totient is φ = 2858851008000.

The previous prime is 10011111110047. The next prime is 10011111110113. The reversal of 10011111110112 is 21101111111001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011111110113) 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, 2506839 + ... + 5128982.

It is an arithmetic number, because the mean of its divisors is an integer number (313007615424).

Almost surely, 2^{10011111110112} is an apocalyptic number.

10011111110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011111110112 is an abundant number, since it is smaller than the sum of its proper divisors (20037619970592).

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

10011111110112 is a wasteful number, since it uses less digits than its factorization.

10011111110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7637792 (or 7637784 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 10011111110112 its reverse (21101111111001), we get a palindrome (31112222221113).

The spelling of 10011111110112 in words is "ten trillion, eleven billion, one hundred eleven million, one hundred ten thousand, one hundred twelve".