2202021002120 has 64 divisors (see below), whose sum is σ = 5084188225200. Its totient is φ = 857835601920.

The previous prime is 2202021002089. The next prime is 2202021002131. The reversal of 2202021002120 is 212001202022.

It can be written as a sum of positive squares in 8 ways, for example, as 1477979981284 + 724041020836 = 1215722^2 + 850906^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2202021002095 and 2202021002104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217235 + ... + 2109794.

Almost surely, 2^{2202021002120} is an apocalyptic number.

2202021002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202021002120 is an abundant number, since it is smaller than the sum of its proper divisors (2882167223080).

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

2202021002120 is a wasteful number, since it uses less digits than its factorization.

2202021002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327658 (or 2327654 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2202021002120 its reverse (212001202022), we get a palindrome (2414022204142).

The spelling of 2202021002120 in words is "two trillion, two hundred two billion, twenty-one million, two thousand, one hundred twenty".