102213047200 has 144 divisors (see below), whose sum is σ = 272559742560. Its totient is φ = 37120896000.

The previous prime is 102213047177. The next prime is 102213047249. The reversal of 102213047200 is 2740312201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7288195 + ... + 7302205.

It is an arithmetic number, because the mean of its divisors is an integer number (1892775990).

Almost surely, 2^102213047200 is an apocalyptic number.

102213047200 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 102213047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136279871280).

102213047200 is an abundant number, since it is smaller than the sum of its proper divisors (170346695360).

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

102213047200 is a wasteful number, since it uses less digits than its factorization.

102213047200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14871 (or 14858 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

Adding to 102213047200 its reverse (2740312201), we get a palindrome (104953359401).

The spelling of 102213047200 in words is "one hundred two billion, two hundred thirteen million, forty-seven thousand, two hundred".