100010111110000 has 200 divisors, whose sum is σ = 298011670414304. Its totient is φ = 31651551360000.

The previous prime is 100010111109991. The next prime is 100010111110009. The reversal of 100010111110000 is 11111010001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100010111109991) and next prime (100010111110009).

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

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010111110009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54040611 + ... + 55860610.

Almost surely, 2^{100010111110000} is an apocalyptic number.

100010111110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010111110000 is an abundant number, since it is smaller than the sum of its proper divisors (198001559304304).

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

100010111110000 is a wasteful number, since it uses less digits than its factorization.

100010111110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109901269 (or 109901248 counting only the distinct ones).

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

Adding to 100010111110000 its reverse (11111010001), we get a palindrome (100021222120001).

Subtracting from 100010111110000 its reverse (11111010001), we obtain a palindrome (99999000099999).

The spelling of 100010111110000 in words is "one hundred trillion, ten billion, one hundred eleven million, one hundred ten thousand".