10010111102112 has 96 divisors (see below), whose sum is σ = 28949133495744. Its totient is φ = 3003333632000.

The previous prime is 10010111102099. The next prime is 10010111102141. The reversal of 10010111102112 is 21120111101001.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46820433 + ... + 47033744.

It is an arithmetic number, because the mean of its divisors is an integer number (301553473914).

Almost surely, 2^{10010111102112} is an apocalyptic number.

10010111102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10010111102112 is an abundant number, since it is smaller than the sum of its proper divisors (18939022393632).

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

10010111102112 is a wasteful number, since it uses less digits than its factorization.

10010111102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93854302 (or 93854294 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10010111102112 its reverse (21120111101001), we get a palindrome (31130222203113).

The spelling of 10010111102112 in words is "ten trillion, ten billion, one hundred eleven million, one hundred two thousand, one hundred twelve".