2210211210120 has 64 divisors (see below), whose sum is σ = 6689311845120. Its totient is φ = 584173814784.

The previous prime is 2210211210071. The next prime is 2210211210121. The reversal of 2210211210120 is 210121120122.

It is a super-2 number, since 2×2210211210120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2210211210120.

It is not an unprimeable number, because it can be changed into a prime (2210211210121) 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, 81483904 + ... + 81511023.

It is an arithmetic number, because the mean of its divisors is an integer number (104520497580).

Almost surely, 2^{2210211210120} is an apocalyptic number.

2210211210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210211210120 is an abundant number, since it is smaller than the sum of its proper divisors (4479100635000).

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

2210211210120 is a wasteful number, since it uses less digits than its factorization.

2210211210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162995054 (or 162995050 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2210211210120 its reverse (210121120122), we get a palindrome (2420332330242).

The spelling of 2210211210120 in words is "two trillion, two hundred ten billion, two hundred eleven million, two hundred ten thousand, one hundred twenty".