100101111110000 has 1200 divisors, whose sum is σ = 331147569407424. Its totient is φ = 28512000000000.

The previous prime is 100101111109991. The next prime is 100101111110149. The reversal of 100101111110000 is 11111101001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100101111110000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11121105500 + ... + 11121114500.

Almost surely, 2^{100101111110000} is an apocalyptic number.

100101111110000 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 100101111110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165573784703712).

100101111110000 is an abundant number, since it is smaller than the sum of its proper divisors (231046458297424).

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

100101111110000 is a wasteful number, since it uses less digits than its factorization.

100101111110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9172 (or 9140 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100101111110000 its reverse (11111101001), we get a palindrome (100112222211001).

The spelling of 100101111110000 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, one hundred ten thousand".