100111022111100 has 1944 divisors, whose sum is σ = 411926675411664. Its totient is φ = 18681062400000.

The previous prime is 100111022111059. The next prime is 100111022111143. The reversal of 100111022111100 is 1111220111001.

It is a super-4 number, since 4×100111022111100⁴ (a number of 57 digits) contains 4444 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 647 ways as a sum of consecutive naturals, for example, 11122206600 + ... + 11122215600.

Almost surely, 2^{100111022111100} is an apocalyptic number.

100111022111100 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 100111022111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205963337705832).

100111022111100 is an abundant number, since it is smaller than the sum of its proper divisors (311815653300564).

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

100111022111100 is a wasteful number, since it uses less digits than its factorization.

100111022111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9117 (or 9079 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100111022111100 its reverse (1111220111001), we get a palindrome (101222242222101).

The spelling of 100111022111100 in words is "one hundred trillion, one hundred eleven billion, twenty-two million, one hundred eleven thousand, one hundred".