101122525200 has 120 divisors (see below), whose sum is σ = 325285430400. Its totient is φ = 26853102080.

The previous prime is 101122525151. The next prime is 101122525237. The reversal of 101122525200 is 2525221101.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110506 + ... + 463094.

It is an arithmetic number, because the mean of its divisors is an integer number (2710711920).

Almost surely, 2^101122525200 is an apocalyptic number.

101122525200 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 101122525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162642715200).

101122525200 is an abundant number, since it is smaller than the sum of its proper divisors (224162905200).

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

101122525200 is a wasteful number, since it uses less digits than its factorization.

101122525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352849 (or 352838 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 101122525200 its reverse (2525221101), we get a palindrome (103647746301).

The spelling of 101122525200 in words is "one hundred one billion, one hundred twenty-two million, five hundred twenty-five thousand, two hundred".