100102111102000 has 80 divisors (see below), whose sum is σ = 276625033918272. Its totient is φ = 34320723801600.

The previous prime is 100102111101973. The next prime is 100102111102027. The reversal of 100102111102000 is 201111201001.

It is an interprime number because it is at equal distance from previous prime (100102111101973) and next prime (100102111102027).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3575061397 + ... + 3575089396.

Almost surely, 2^{100102111102000} is an apocalyptic number.

100102111102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102111102000 is an abundant number, since it is smaller than the sum of its proper divisors (176522922816272).

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

100102111102000 is an equidigital number, since it uses as much as digits as its factorization.

100102111102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7150150823 (or 7150150807 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100102111102000 its reverse (201111201001), we get a palindrome (100303222303001).

Subtracting from 100102111102000 its reverse (201111201001), we obtain a palindrome (99900999900999).

The spelling of 100102111102000 in words is "one hundred trillion, one hundred two billion, one hundred eleven million, one hundred two thousand".