101435325200 has 120 divisors (see below), whose sum is σ = 270359436960. Its totient is φ = 36260300800.

The previous prime is 101435325179. The next prime is 101435325209. The reversal of 101435325200 is 2523534101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101435325200.

It is not an unprimeable number, because it can be changed into a prime (101435325209) 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, 64232 + ... + 454968.

It is an arithmetic number, because the mean of its divisors is an integer number (2252995308).

Almost surely, 2^101435325200 is an apocalyptic number.

101435325200 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 101435325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135179718480).

101435325200 is an abundant number, since it is smaller than the sum of its proper divisors (168924111760).

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

101435325200 is a wasteful number, since it uses less digits than its factorization.

101435325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390825 (or 390814 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 101435325200 its reverse (2523534101), we get a palindrome (103958859301).

The spelling of 101435325200 in words is "one hundred one billion, four hundred thirty-five million, three hundred twenty-five thousand, two hundred".