2101031312220 has 576 divisors, whose sum is σ = 7183893749760. Its totient is φ = 494740224000.

The previous prime is 2101031312207. The next prime is 2101031312297. The reversal of 2101031312220 is 222131301012.

2101031312220 is a `hidden beast` number, since 2 + 101 + 0 + 31 + 312 + 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 = 2101031312193 and 2101031312202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 396194089 + ... + 396199391.

It is an arithmetic number, because the mean of its divisors is an integer number (12472037760).

Almost surely, 2^{2101031312220} is an apocalyptic number.

2101031312220 is a gapful number since it is divisible by the number (20) 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 2101031312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591946874880).

2101031312220 is an abundant number, since it is smaller than the sum of its proper divisors (5082862437540).

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

2101031312220 is a wasteful number, since it uses less digits than its factorization.

2101031312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5506 (or 5501 counting only the distinct ones).

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

Adding to 2101031312220 its reverse (222131301012), we get a palindrome (2323162613232).

The spelling of 2101031312220 in words is "two trillion, one hundred one billion, thirty-one million, three hundred twelve thousand, two hundred twenty".