102001200010112 has 64 divisors (see below), whose sum is σ = 218840886216960. Its totient is φ = 47076578334720.

The previous prime is 102001200010069. The next prime is 102001200010169. The reversal of 102001200010112 is 211010002100201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 102001200010093 and 102001200010102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90917537 + ... + 92032607.

It is an arithmetic number, because the mean of its divisors is an integer number (3419388847140).

Almost surely, 2^{102001200010112} is an apocalyptic number.

It is an amenable number.

102001200010112 is an abundant number, since it is smaller than the sum of its proper divisors (116839686206848).

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

102001200010112 is a wasteful number, since it uses less digits than its factorization.

102001200010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170071 (or 1170059 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102001200010112 its reverse (211010002100201), we get a palindrome (313011202110313).

The spelling of 102001200010112 in words is "one hundred two trillion, one billion, two hundred million, ten thousand, one hundred twelve".