2210100010122 has 32 divisors (see below), whose sum is σ = 4645238507712. Its totient is φ = 700119673344.

The previous prime is 2210100010117. The next prime is 2210100010171.

2210100010122 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2210100010122³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2210100010098 and 2210100010107.

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 15 ways as a sum of consecutive naturals, for example, 115750983 + ... + 115770074.

It is an arithmetic number, because the mean of its divisors is an integer number (145163703366).

Almost surely, 2^{2210100010122} is an apocalyptic number.

2210100010122 is an abundant number, since it is smaller than the sum of its proper divisors (2435138497590).

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

2210100010122 is a wasteful number, since it uses less digits than its factorization.

2210100010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231521142.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 22101000 and 10122, that added together give a palindrome (22111122).

The spelling of 2210100010122 in words is "two trillion, two hundred ten billion, one hundred million, ten thousand, one hundred twenty-two".