101022022032 has 80 divisors (see below), whose sum is σ = 275587450560. Its totient is φ = 31799678976.

The previous prime is 101022021973. The next prime is 101022022033. The reversal of 101022022032 is 230220220101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101022022033) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 108508 + ... + 462404.

It is an arithmetic number, because the mean of its divisors is an integer number (3444843132).

Almost surely, 2^101022022032 is an apocalyptic number.

101022022032 is a gapful number since it is divisible by the number (12) 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 101022022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137793725280).

101022022032 is an abundant number, since it is smaller than the sum of its proper divisors (174565428528).

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

101022022032 is a wasteful number, since it uses less digits than its factorization.

101022022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354240 (or 354234 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 101022022032 its reverse (230220220101), we get a palindrome (331242242133).

The spelling of 101022022032 in words is "one hundred one billion, twenty-two million, twenty-two thousand, thirty-two".