102095121888 has 72 divisors (see below), whose sum is σ = 290410441776. Its totient is φ = 34022630400.

The previous prime is 102095121853. The next prime is 102095121893. The reversal of 102095121888 is 888121590201.

102095121888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1081048 + ... + 1171688.

It is an arithmetic number, because the mean of its divisors is an integer number (4033478358).

Almost surely, 2^102095121888 is an apocalyptic number.

102095121888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102095121888 is an abundant number, since it is smaller than the sum of its proper divisors (188315319888).

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

102095121888 is a wasteful number, since it uses less digits than its factorization.

102095121888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94568 (or 94557 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 102095121888 in words is "one hundred two billion, ninety-five million, one hundred twenty-one thousand, eight hundred eighty-eight".