102020002112 has 56 divisors (see below), whose sum is σ = 232111052160. Its totient is φ = 43582210560.

The previous prime is 102020002093. The next prime is 102020002157. The reversal of 102020002112 is 211200020201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 102020002093 and 102020002102.

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, 226787 + ... + 505442.

Almost surely, 2^102020002112 is an apocalyptic number.

It is an amenable number.

102020002112 is an abundant number, since it is smaller than the sum of its proper divisors (130091050048).

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

102020002112 is an equidigital number, since it uses as much as digits as its factorization.

102020002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732559 (or 732549 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102020002112 its reverse (211200020201), we get a palindrome (313220022313).

The spelling of 102020002112 in words is "one hundred two billion, twenty million, two thousand, one hundred twelve".