100111211310000 has 200 divisors, whose sum is σ = 352551642911424. Its totient is φ = 24269384480000.

The previous prime is 100111211309987. The next prime is 100111211310023. The reversal of 100111211310000 is 13112111001.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×100111211310000² (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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 151353654 + ... + 152013653.

Almost surely, 2^{100111211310000} is an apocalyptic number.

100111211310000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111211310000 is an abundant number, since it is smaller than the sum of its proper divisors (252440431601424).

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

100111211310000 is a wasteful number, since it uses less digits than its factorization.

100111211310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303367349 (or 303367328 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 100111211310000 its reverse (13112111001), we get a palindrome (100124323421001).

The spelling of 100111211310000 in words is "one hundred trillion, one hundred eleven billion, two hundred eleven million, three hundred ten thousand".