100112202211000 has 128 divisors (see below), whose sum is σ = 267741921432960. Its totient is φ = 34322479872000.

The previous prime is 100112202210971. The next prime is 100112202211051. The reversal of 100112202211000 is 112202211001.

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, 144926430 + ... + 145615570.

It is an arithmetic number, because the mean of its divisors is an integer number (2091733761195).

Almost surely, 2^{100112202211000} is an apocalyptic number.

100112202211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112202211000 is an abundant number, since it is smaller than the sum of its proper divisors (167629719221960).

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

100112202211000 is a wasteful number, since it uses less digits than its factorization.

100112202211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709922 (or 709908 counting only the distinct ones).

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

Adding to 100112202211000 its reverse (112202211001), we get a palindrome (100224404422001).

Subtracting from 100112202211000 its reverse (112202211001), we obtain a palindrome (99999999999999).

The spelling of 100112202211000 in words is "one hundred trillion, one hundred twelve billion, two hundred two million, two hundred eleven thousand".