102213003200 has 672 divisors, whose sum is σ = 341245301760. Its totient is φ = 29152051200.

The previous prime is 102213003187. The next prime is 102213003247. The reversal of 102213003200 is 2300312201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77492141 + ... + 77493459.

Almost surely, 2^102213003200 is an apocalyptic number.

102213003200 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 102213003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170622650880).

102213003200 is an abundant number, since it is smaller than the sum of its proper divisors (239032298560).

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

102213003200 is a wasteful number, since it uses less digits than its factorization.

102213003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 102213003200 its reverse (2300312201), we get a palindrome (104513315401).

The spelling of 102213003200 in words is "one hundred two billion, two hundred thirteen million, three thousand, two hundred".