102202210111200 has 288 divisors, whose sum is σ = 333528215328000. Its totient is φ = 27183509176320.

The previous prime is 102202210111147. The next prime is 102202210111247. The reversal of 102202210111200 is 2111012202201.

It is a super-2 number, since 2×102202210111200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102202210111200.

It is a congruent number.

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, 3317914999 + ... + 3317945801.

It is an arithmetic number, because the mean of its divisors is an integer number (1158084081000).

Almost surely, 2^{102202210111200} is an apocalyptic number.

102202210111200 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 102202210111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166764107664000).

102202210111200 is an abundant number, since it is smaller than the sum of its proper divisors (231326005216800).

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

102202210111200 is a wasteful number, since it uses less digits than its factorization.

102202210111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34354 (or 34341 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102202210111200 its reverse (2111012202201), we get a palindrome (104313222313401).

The spelling of 102202210111200 in words is "one hundred two trillion, two hundred two billion, two hundred ten million, one hundred eleven thousand, two hundred".