102222010321200 has 720 divisors, whose sum is σ = 443685099526656. Its totient is φ = 21173056819200.

The previous prime is 102222010321187. The next prime is 102222010321219. The reversal of 102222010321200 is 2123010222201.

102222010321200 is a `hidden beast` number, since 10 + 222 + 201 + 0 + 32 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86174517 + ... + 87352683.

Almost surely, 2^{102222010321200} is an apocalyptic number.

102222010321200 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 102222010321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221842549763328).

102222010321200 is an abundant number, since it is smaller than the sum of its proper divisors (341463089205456).

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

102222010321200 is a wasteful number, since it uses less digits than its factorization.

102222010321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178522 (or 1178508 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102222010321200 its reverse (2123010222201), we get a palindrome (104345020543401).

The spelling of 102222010321200 in words is "one hundred two trillion, two hundred twenty-two billion, ten million, three hundred twenty-one thousand, two hundred".