100111012222100 has 144 divisors (see below), whose sum is σ = 237570588467520. Its totient is φ = 36314940211200.

The previous prime is 100111012222087. The next prime is 100111012222121. The reversal of 100111012222100 is 1222210111001.

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, 741786827 + ... + 741921773.

Almost surely, 2^{100111012222100} is an apocalyptic number.

100111012222100 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 100111012222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118785294233760).

100111012222100 is an abundant number, since it is smaller than the sum of its proper divisors (137459576245420).

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

100111012222100 is a wasteful number, since it uses less digits than its factorization.

100111012222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136618 (or 136611 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100111012222100 its reverse (1222210111001), we get a palindrome (101333222333101).

The spelling of 100111012222100 in words is "one hundred trillion, one hundred eleven billion, twelve million, two hundred twenty-two thousand, one hundred".