100111101100000 has 576 divisors, whose sum is σ = 266933602656000. Its totient is φ = 36815134720000.

The previous prime is 100111101099979. The next prime is 100111101100027. The reversal of 100111101100000 is 1101111001.

It is a happy number.

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, 21533897676 + ... + 21533902324.

It is an arithmetic number, because the mean of its divisors is an integer number (463426393500).

Almost surely, 2^{100111101100000} is an apocalyptic number.

100111101100000 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 100111101100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133466801328000).

100111101100000 is an abundant number, since it is smaller than the sum of its proper divisors (166822501556000).

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

100111101100000 is an equidigital number, since it uses as much as digits as its factorization.

100111101100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4993 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100111101100000 its reverse (1101111001), we get a palindrome (100112202211001).

The spelling of 100111101100000 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred thousand".