101122330400 has 288 divisors, whose sum is σ = 306081659520. Its totient is φ = 31766814720.

The previous prime is 101122330391. The next prime is 101122330417. The reversal of 101122330400 is 4033221101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9968531 + ... + 9978669.

It is an arithmetic number, because the mean of its divisors is an integer number (1062783540).

Almost surely, 2^101122330400 is an apocalyptic number.

101122330400 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 101122330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153040829760).

101122330400 is an abundant number, since it is smaller than the sum of its proper divisors (204959329120).

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

101122330400 is a wasteful number, since it uses less digits than its factorization.

101122330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10316 (or 10303 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 101122330400 its reverse (4033221101), we get a palindrome (105155551501).

The spelling of 101122330400 in words is "one hundred one billion, one hundred twenty-two million, three hundred thirty thousand, four hundred".