101215325200 has 120 divisors (see below), whose sum is σ = 266967645120. Its totient is φ = 36570892800.

The previous prime is 101215325171. The next prime is 101215325209. The reversal of 101215325200 is 2523512101.

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

It is not an unprimeable number, because it can be changed into a prime (101215325209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 617541 + ... + 764059.

It is an arithmetic number, because the mean of its divisors is an integer number (2224730376).

Almost surely, 2^101215325200 is an apocalyptic number.

101215325200 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 101215325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133483822560).

101215325200 is an abundant number, since it is smaller than the sum of its proper divisors (165752319920).

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

101215325200 is a wasteful number, since it uses less digits than its factorization.

101215325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146705 (or 146694 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 101215325200 its reverse (2523512101), we get a palindrome (103738837301).

The spelling of 101215325200 in words is "one hundred one billion, two hundred fifteen million, three hundred twenty-five thousand, two hundred".