102072101892 has 24 divisors (see below), whose sum is σ = 238340737152. Its totient is φ = 33999391200.

The previous prime is 102072101867. The next prime is 102072101899. The reversal of 102072101892 is 298101270201.

102072101892 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102072101899) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3063084 + ... + 3096227.

It is an arithmetic number, because the mean of its divisors is an integer number (9930864048).

Almost surely, 2^102072101892 is an apocalyptic number.

102072101892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102072101892 is an abundant number, since it is smaller than the sum of its proper divisors (136268635260).

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

102072101892 is a wasteful number, since it uses less digits than its factorization.

102072101892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6160699 (or 6160697 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 102072101892 in words is "one hundred two billion, seventy-two million, one hundred one thousand, eight hundred ninety-two".