100112202112000 has 352 divisors, whose sum is σ = 271088649861120. Its totient is φ = 36673368883200.

The previous prime is 100112202111979. The next prime is 100112202112031. The reversal of 100112202112000 is 211202211001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 211091136 + ... + 211564864.

Almost surely, 2^{100112202112000} is an apocalyptic number.

100112202112000 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 100112202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135544324930560).

100112202112000 is an abundant number, since it is smaller than the sum of its proper divisors (170976447749120).

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

100112202112000 is a wasteful number, since it uses less digits than its factorization.

100112202112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473904 (or 473876 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100112202112000 its reverse (211202211001), we get a palindrome (100323404323001).

Subtracting from 100112202112000 its reverse (211202211001), we obtain a palindrome (99900999900999).

The spelling of 100112202112000 in words is "one hundred trillion, one hundred twelve billion, two hundred two million, one hundred twelve thousand".