10112222111100 has 144 divisors (see below), whose sum is σ = 30340526082048. Its totient is φ = 2598238460160.

The previous prime is 10112222111071. The next prime is 10112222111113. The reversal of 10112222111100 is 111122221101.

It is a happy number.

10112222111100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10112222111100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3279084 + ... + 5565683.

It is an arithmetic number, because the mean of its divisors is an integer number (210698097792).

Almost surely, 2^{10112222111100} is an apocalyptic number.

10112222111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112222111100 is an abundant number, since it is smaller than the sum of its proper divisors (20228303970948).

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

10112222111100 is a wasteful number, since it uses less digits than its factorization.

10112222111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8844924 (or 8844917 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10112222111100 its reverse (111122221101), we get a palindrome (10223344332201).

The spelling of 10112222111100 in words is "ten trillion, one hundred twelve billion, two hundred twenty-two million, one hundred eleven thousand, one hundred".