102012102200100 has 72 divisors (see below), whose sum is σ = 295694604868768. Its totient is φ = 27153495532800.

The previous prime is 102012102200093. The next prime is 102012102200117. The reversal of 102012102200100 is 1002201210201.

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

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 23 ways as a sum of consecutive naturals, for example, 310658881 + ... + 310987080.

Almost surely, 2^{102012102200100} is an apocalyptic number.

102012102200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012102200100 is an abundant number, since it is smaller than the sum of its proper divisors (193682502668668).

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

102012102200100 is a wasteful number, since it uses less digits than its factorization.

102012102200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621646525 (or 621646518 counting only the distinct ones).

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

Adding to 102012102200100 its reverse (1002201210201), we get a palindrome (103014303410301).

The spelling of 102012102200100 in words is "one hundred two trillion, twelve billion, one hundred two million, two hundred thousand, one hundred".