10112122121100 has 36 divisors (see below), whose sum is σ = 29257740004584. Its totient is φ = 2696565898880.

The previous prime is 10112122121099. The next prime is 10112122121113. The reversal of 10112122121100 is 112122121101.

It is a happy number.

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 10112122121100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16853536569 + ... + 16853537168.

Almost surely, 2^{10112122121100} is an apocalyptic number.

10112122121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112122121100 is an abundant number, since it is smaller than the sum of its proper divisors (19145617883484).

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

10112122121100 is a wasteful number, since it uses less digits than its factorization.

10112122121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33707073754 (or 33707073747 counting only the distinct ones).

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

Adding to 10112122121100 its reverse (112122121101), we get a palindrome (10224244242201).

Subtracting from 10112122121100 its reverse (112122121101), we obtain a palindrome (9999999999999).

The spelling of 10112122121100 in words is "ten trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred".