100133111100000 has 1152 divisors, whose sum is σ = 380801177164800. Its totient is φ = 22803379200000.

The previous prime is 100133111099993. The next prime is 100133111100041. The reversal of 100133111100000 is 1111331001.

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 191 ways as a sum of consecutive naturals, for example, 3540885861 + ... + 3540914139.

It is an arithmetic number, because the mean of its divisors is an integer number (330556577400).

Almost surely, 2^{100133111100000} is an apocalyptic number.

100133111100000 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 100133111100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190400588582400).

100133111100000 is an abundant number, since it is smaller than the sum of its proper divisors (280668066064800).

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

100133111100000 is a wasteful number, since it uses less digits than its factorization.

100133111100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28394 (or 28366 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 100133111100000 its reverse (1111331001), we get a palindrome (100134222431001).

The spelling of 100133111100000 in words is "one hundred trillion, one hundred thirty-three billion, one hundred eleven million, one hundred thousand".