102202221211200 has 504 divisors, whose sum is σ = 397319437800480. Its totient is φ = 24710908723200.

The previous prime is 102202221211169. The next prime is 102202221211217. The reversal of 102202221211200 is 2112122202201.

It is a happy number.

102202221211200 is a `hidden beast` number, since 1 + 0 + 220 + 2 + 221 + 21 + 1 + 200 = 666.

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 71 ways as a sum of consecutive naturals, for example, 59182392 + ... + 60884808.

Almost surely, 2^{102202221211200} is an apocalyptic number.

102202221211200 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 102202221211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198659718900240).

102202221211200 is an abundant number, since it is smaller than the sum of its proper divisors (295117216589280).

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

102202221211200 is a wasteful number, since it uses less digits than its factorization.

102202221211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702835 (or 1702817 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102202221211200 its reverse (2112122202201), we get a palindrome (104314343413401).

It can be divided in two parts, 1022022 and 21211200, that added together give a palindrome (22233222).

The spelling of 102202221211200 in words is "one hundred two trillion, two hundred two billion, two hundred twenty-one million, two hundred eleven thousand, two hundred".