2210120100213 has 16 divisors (see below), whose sum is σ = 2949601314816. Its totient is φ = 1472026752000.

The previous prime is 2210120100191. The next prime is 2210120100217. The reversal of 2210120100213 is 3120010210122.

It is not a de Polignac number, because 2210120100213 - 2¹³ = 2210120092021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2210120100192 and 2210120100201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210120100217) by changing a digit.

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, 14898181 + ... + 15045797.

It is an arithmetic number, because the mean of its divisors is an integer number (184350082176).

Almost surely, 2^{2210120100213} is an apocalyptic number.

It is an amenable number.

2210120100213 is a deficient number, since it is larger than the sum of its proper divisors (739481214603).

2210120100213 is a wasteful number, since it uses less digits than its factorization.

2210120100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152284.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2210120100213 its reverse (3120010210122), we get a palindrome (5330130310335).

The spelling of 2210120100213 in words is "two trillion, two hundred ten billion, one hundred twenty million, one hundred thousand, two hundred thirteen".