100102112200020 has 72 divisors (see below), whose sum is σ = 326046879746784. Its totient is φ = 22880482787904.

The previous prime is 100102112200001. The next prime is 100102112200061. The reversal of 100102112200020 is 20002211201001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100102112199969 and 100102112200005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17024165802 + ... + 17024171681.

It is an arithmetic number, because the mean of its divisors is an integer number (4528428885372).

Almost surely, 2^{100102112200020} is an apocalyptic number.

100102112200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102112200020 is an abundant number, since it is smaller than the sum of its proper divisors (225944767546764).

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

100102112200020 is a wasteful number, since it uses less digits than its factorization.

100102112200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34048337509 (or 34048337500 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100102112200020 its reverse (20002211201001), we get a palindrome (120104323401021).

The spelling of 100102112200020 in words is "one hundred trillion, one hundred two billion, one hundred twelve million, two hundred thousand, twenty".