102112020221200 has 240 divisors, whose sum is σ = 270626643732672. Its totient is φ = 36716320000000.

The previous prime is 102112020221191. The next prime is 102112020221213. The reversal of 102112020221200 is 2122020211201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 343372575 + ... + 343669825.

Almost surely, 2^{102112020221200} is an apocalyptic number.

102112020221200 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 102112020221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135313321866336).

102112020221200 is an abundant number, since it is smaller than the sum of its proper divisors (168514623511472).

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

102112020221200 is a wasteful number, since it uses less digits than its factorization.

102112020221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298154 (or 298143 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102112020221200 its reverse (2122020211201), we get a palindrome (104234040432401).

Subtracting from 102112020221200 its reverse (2122020211201), we obtain a palindrome (99990000009999).

The spelling of 102112020221200 in words is "one hundred two trillion, one hundred twelve billion, twenty million, two hundred twenty-one thousand, two hundred".