100111211120100 has 576 divisors, whose sum is σ = 308358835771392. Its totient is φ = 25042452480000.

The previous prime is 100111211120093. The next prime is 100111211120177. The reversal of 100111211120100 is 1021112111001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9393933972 + ... + 9393944628.

It is an arithmetic number, because the mean of its divisors is an integer number (535345200992).

Almost surely, 2^{100111211120100} is an apocalyptic number.

100111211120100 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 100111211120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154179417885696).

100111211120100 is an abundant number, since it is smaller than the sum of its proper divisors (208247624651292).

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

100111211120100 is a wasteful number, since it uses less digits than its factorization.

100111211120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11016 (or 11009 counting only the distinct ones).

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

Adding to 100111211120100 its reverse (1021112111001), we get a palindrome (101132323231101).

Subtracting from 100111211120100 its reverse (1021112111001), we obtain a palindrome (99090099009099).

The spelling of 100111211120100 in words is "one hundred trillion, one hundred eleven billion, two hundred eleven million, one hundred twenty thousand, one hundred".