100100011200000 has 960 divisors, whose sum is σ = 397502128235520. Its totient is φ = 21885050880000.

The previous prime is 100100011199999. The next prime is 100100011200017. The reversal of 100100011200000 is 2110001001.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 772735236 + ... + 772864764.

It is an arithmetic number, because the mean of its divisors is an integer number (414064716912).

Almost surely, 2^{100100011200000} is an apocalyptic number.

100100011200000 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 100100011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198751064117760).

100100011200000 is an abundant number, since it is smaller than the sum of its proper divisors (297402117035520).

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

100100011200000 is an frugal number, since it uses more digits than its factorization.

100100011200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129605 (or 129569 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100100011200000 its reverse (2110001001), we get a palindrome (100102121201001).

The spelling of 100100011200000 in words is "one hundred trillion, one hundred billion, eleven million, two hundred thousand".