102095215200 has 864 divisors, whose sum is σ = 420120110592. Its totient is φ = 23079936000.

The previous prime is 102095215133. The next prime is 102095215207. The reversal of 102095215200 is 2512590201.

102095215200 is a `hidden beast` number, since 10 + 20 + 95 + 21 + 520 + 0 = 666.

It is a super-2 number, since 2×102095215200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102095215207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74684917 + ... + 74686283.

It is an arithmetic number, because the mean of its divisors is an integer number (486250128).

Almost surely, 2^102095215200 is an apocalyptic number.

102095215200 is a gapful number since it is divisible by the number (10) 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 102095215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210060055296).

102095215200 is an abundant number, since it is smaller than the sum of its proper divisors (318024895392).

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

102095215200 is a wasteful number, since it uses less digits than its factorization.

102095215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 102095215200 in words is "one hundred two billion, ninety-five million, two hundred fifteen thousand, two hundred".