102020100012 has 72 divisors (see below), whose sum is σ = 271641530160. Its totient is φ = 32194972800.

The previous prime is 102020099989. The next prime is 102020100071. The reversal of 102020100012 is 210001020201.

102020100012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102020099967 and 102020100003.

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, 971262 + ... + 1071162.

It is an arithmetic number, because the mean of its divisors is an integer number (3772799030).

Almost surely, 2^102020100012 is an apocalyptic number.

102020100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135820765080).

102020100012 is an abundant number, since it is smaller than the sum of its proper divisors (169621430148).

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

102020100012 is a wasteful number, since it uses less digits than its factorization.

102020100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101423 (or 101418 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102020100012 its reverse (210001020201), we get a palindrome (312021120213).

The spelling of 102020100012 in words is "one hundred two billion, twenty million, one hundred thousand, twelve".