101122333200032 has 192 divisors, whose sum is σ = 210921474355200. Its totient is φ = 47671332234240.

The previous prime is 101122333200023. The next prime is 101122333200037. The reversal of 101122333200032 is 230002333221101.

It is a junction number, because it is equal to n+sod(n) for n = 101122333199980 and 101122333200007.

It is not an unprimeable number, because it can be changed into a prime (101122333200037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4039871357 + ... + 4039896387.

It is an arithmetic number, because the mean of its divisors is an integer number (1098549345600).

Almost surely, 2^{101122333200032} 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 101122333200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105460737177600).

101122333200032 is an abundant number, since it is smaller than the sum of its proper divisors (109799141155168).

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

101122333200032 is a wasteful number, since it uses less digits than its factorization.

101122333200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26059 (or 26051 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 101122333200032 its reverse (230002333221101), we get a palindrome (331124666421133).

The spelling of 101122333200032 in words is "one hundred one trillion, one hundred twenty-two billion, three hundred thirty-three million, two hundred thousand, thirty-two".