101122322304 has 128 divisors (see below), whose sum is σ = 271901710080. Its totient is φ = 33295933440.

The previous prime is 101122322303. The next prime is 101122322311. The reversal of 101122322304 is 403223221101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122322303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13317549 + ... + 13325139.

It is an arithmetic number, because the mean of its divisors is an integer number (2124232110).

Almost surely, 2^101122322304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101122322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135950855040).

101122322304 is an abundant number, since it is smaller than the sum of its proper divisors (170779387776).

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

101122322304 is a wasteful number, since it uses less digits than its factorization.

101122322304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8028 (or 8016 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101122322304 its reverse (403223221101), we get a palindrome (504345543405).

The spelling of 101122322304 in words is "one hundred one billion, one hundred twenty-two million, three hundred twenty-two thousand, three hundred four".