101331100332220 has 96 divisors (see below), whose sum is σ = 232628451552000. Its totient is φ = 36770204620800.

The previous prime is 101331100332199. The next prime is 101331100332229. The reversal of 101331100332220 is 22233001133101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 101331100332191 and 101331100332200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331100332229) 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, 2900211511 + ... + 2900246449.

It is an arithmetic number, because the mean of its divisors is an integer number (2423213037000).

Almost surely, 2^{101331100332220} is an apocalyptic number.

101331100332220 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 101331100332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116314225776000).

101331100332220 is an abundant number, since it is smaller than the sum of its proper divisors (131297351219780).

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

101331100332220 is a wasteful number, since it uses less digits than its factorization.

101331100332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62299 (or 62297 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 101331100332220 its reverse (22233001133101), we get a palindrome (123564101465321).

The spelling of 101331100332220 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred million, three hundred thirty-two thousand, two hundred twenty".