102180272947200 has 4320 divisors, whose sum is σ = 459664283769600. Its totient is φ = 22473709977600.

The previous prime is 102180272947199. The next prime is 102180272947343. The reversal of 102180272947200 is 2749272081201.

102180272947200 is a `hidden beast` number, since 10 + 2 + 1 + 80 + 272 + 94 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1399729766364 + ... + 1399729766436.

Almost surely, 2^{102180272947200} is an apocalyptic number.

102180272947200 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 102180272947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229832141884800).

102180272947200 is an abundant number, since it is smaller than the sum of its proper divisors (357484010822400).

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

102180272947200 is an frugal number, since it uses more digits than its factorization.

102180272947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 102180272947200 in words is "one hundred two trillion, one hundred eighty billion, two hundred seventy-two million, nine hundred forty-seven thousand, two hundred".