102252277420800 has 432 divisors, whose sum is σ = 364919951524128. Its totient is φ = 25065337651200.

The previous prime is 102252277420757. The next prime is 102252277420823. The reversal of 102252277420800 is 8024772252201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59303674 + ... + 61003526.

Almost surely, 2^{102252277420800} is an apocalyptic number.

102252277420800 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 102252277420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182459975762064).

102252277420800 is an abundant number, since it is smaller than the sum of its proper divisors (262667674103328).

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

102252277420800 is a wasteful number, since it uses less digits than its factorization.

102252277420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700136 (or 1700117 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 42.

The spelling of 102252277420800 in words is "one hundred two trillion, two hundred fifty-two billion, two hundred seventy-seven million, four hundred twenty thousand, eight hundred".