101331022100220 has 72 divisors (see below), whose sum is σ = 335313564047280. Its totient is φ = 24565096266240.

The previous prime is 101331022100171. The next prime is 101331022100251. The reversal of 101331022100220 is 22001220133101.

101331022100220 is a `hidden beast` number, since 1 + 0 + 13 + 310 + 22 + 100 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101331022100193 and 101331022100202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25588639965 + ... + 25588643924.

It is an arithmetic number, because the mean of its divisors is an integer number (4657132833990).

Almost surely, 2^{101331022100220} is an apocalyptic number.

101331022100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101331022100220 is an abundant number, since it is smaller than the sum of its proper divisors (233982541947060).

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

101331022100220 is a wasteful number, since it uses less digits than its factorization.

101331022100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51177283915 (or 51177283910 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101331022100220 its reverse (22001220133101), we get a palindrome (123332242233321).

The spelling of 101331022100220 in words is "one hundred one trillion, three hundred thirty-one billion, twenty-two million, one hundred thousand, two hundred twenty".