102151627200 has 420 divisors, whose sum is σ = 429128023632. Its totient is φ = 23348736000.

The previous prime is 102151627177. The next prime is 102151627217. The reversal of 102151627200 is 2726151201.

102151627200 is a `hidden beast` number, since 1 + 0 + 2 + 15 + 1 + 627 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 850900 + ... + 963500.

Almost surely, 2^102151627200 is an apocalyptic number.

102151627200 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 102151627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214564011816).

102151627200 is an abundant number, since it is smaller than the sum of its proper divisors (326976396432).

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

102151627200 is a wasteful number, since it uses less digits than its factorization.

102151627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112642 (or 112618 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 102151627200 its reverse (2726151201), we get a palindrome (104877778401).

The spelling of 102151627200 in words is "one hundred two billion, one hundred fifty-one million, six hundred twenty-seven thousand, two hundred".