102112202332200 has 192 divisors, whose sum is σ = 317294916111360. Its totient is φ = 27165667659520.

The previous prime is 102112202332193. The next prime is 102112202332237. The reversal of 102112202332200 is 2233202211201.

It is a super-2 number, since 2×102112202332200² (a number of 29 digits) contains 22 as substring.

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, 4717141777 + ... + 4717163423.

It is an arithmetic number, because the mean of its divisors is an integer number (1652577688080).

Almost surely, 2^{102112202332200} is an apocalyptic number.

102112202332200 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 102112202332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158647458055680).

102112202332200 is an abundant number, since it is smaller than the sum of its proper divisors (215182713779160).

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

102112202332200 is a wasteful number, since it uses less digits than its factorization.

102112202332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39856 (or 39847 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102112202332200 its reverse (2233202211201), we get a palindrome (104345404543401).

The spelling of 102112202332200 in words is "one hundred two trillion, one hundred twelve billion, two hundred two million, three hundred thirty-two thousand, two hundred".