101422885200 has 720 divisors, whose sum is σ = 409328801280. Its totient is φ = 21277347840.

The previous prime is 101422885199. The next prime is 101422885217. The reversal of 101422885200 is 2588224101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 211738561 + ... + 211739039.

It is an arithmetic number, because the mean of its divisors is an integer number (568512224).

Almost surely, 2^101422885200 is an apocalyptic number.

101422885200 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 101422885200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204664400640).

101422885200 is an abundant number, since it is smaller than the sum of its proper divisors (307905916080).

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

101422885200 is a wasteful number, since it uses less digits than its factorization.

101422885200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The spelling of 101422885200 in words is "one hundred one billion, four hundred twenty-two million, eight hundred eighty-five thousand, two hundred".