100111002110000 has 100 divisors (see below), whose sum is σ = 277004282717712. Its totient is φ = 34323772128000.

The previous prime is 100111002109913. The next prime is 100111002110059. The reversal of 100111002110000 is 11200111001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

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 100111002110000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 715008587 + ... + 715148586.

Almost surely, 2^{100111002110000} is an apocalyptic number.

100111002110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111002110000 is an abundant number, since it is smaller than the sum of its proper divisors (176893280607712).

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

100111002110000 is an equidigital number, since it uses as much as digits as its factorization.

100111002110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430157208 (or 1430157187 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100111002110000 its reverse (11200111001), we get a palindrome (100122202221001).

The spelling of 100111002110000 in words is "one hundred trillion, one hundred eleven billion, two million, one hundred ten thousand".