2210100212120 has 32 divisors (see below), whose sum is σ = 4973893441200. Its totient is φ = 883832446848.

The previous prime is 2210100212113. The next prime is 2210100212149. The reversal of 2210100212120 is 212120010122.

It is a super-2 number, since 2×2210100212120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2210100212095 and 2210100212104.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6316199 + ... + 6656918.

Almost surely, 2^{2210100212120} is an apocalyptic number.

2210100212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210100212120 is an abundant number, since it is smaller than the sum of its proper divisors (2763793229080).

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

2210100212120 is a wasteful number, since it uses less digits than its factorization.

2210100212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12977387 (or 12977383 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2210100212120 its reverse (212120010122), we get a palindrome (2422220222242).

The spelling of 2210100212120 in words is "two trillion, two hundred ten billion, one hundred million, two hundred twelve thousand, one hundred twenty".