100111102102200 has 192 divisors, whose sum is σ = 373346666784000. Its totient is φ = 21678193520640.

The previous prime is 100111102102163. The next prime is 100111102102211. The reversal of 100111102102200 is 2201201111001.

It is a super-2 number, since 2×100111102102200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 627182745 + ... + 627342344.

It is an arithmetic number, because the mean of its divisors is an integer number (1944513889500).

Almost surely, 2^{100111102102200} is an apocalyptic number.

100111102102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111102102200 is an abundant number, since it is smaller than the sum of its proper divisors (273235564681800).

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

100111102102200 is a wasteful number, since it uses less digits than its factorization.

100111102102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254525134 (or 1254525125 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100111102102200 its reverse (2201201111001), we get a palindrome (102312303213201).

The spelling of 100111102102200 in words is "one hundred trillion, one hundred eleven billion, one hundred two million, one hundred two thousand, two hundred".