102050971200 has 672 divisors, whose sum is σ = 384399861120. Its totient is φ = 26320896000.

The previous prime is 102050971189. The next prime is 102050971207. The reversal of 102050971200 is 2179050201.

102050971200 is a `hidden beast` number, since 10 + 20 + 509 + 7 + 120 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (102050971207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 254491000 + ... + 254491400.

Almost surely, 2^102050971200 is an apocalyptic number.

102050971200 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 102050971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192199930560).

102050971200 is an abundant number, since it is smaller than the sum of its proper divisors (282348889920).

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

102050971200 is a wasteful number, since it uses less digits than its factorization.

102050971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 102050971200 in words is "one hundred two billion, fifty million, nine hundred seventy-one thousand, two hundred".