2010211122100 has 36 divisors (see below), whose sum is σ = 4512577387500. Its totient is φ = 776357397760.

The previous prime is 2010211122089. The next prime is 2010211122113. The reversal of 2010211122100 is 12211120102.

It can be written as a sum of positive squares in 6 ways, for example, as 350267483556 + 1659943638544 = 591834^2 + 1288388^2 .

It is a super-2 number, since 2×2010211122100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346585225 + ... + 346591024.

It is an arithmetic number, because the mean of its divisors is an integer number (125349371875).

Almost surely, 2^{2010211122100} is an apocalyptic number.

2010211122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010211122100 is an abundant number, since it is smaller than the sum of its proper divisors (2502366265400).

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

2010211122100 is a wasteful number, since it uses less digits than its factorization.

2010211122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693176292 (or 693176285 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2010211122100 its reverse (12211120102), we get a palindrome (2022422242202).

The spelling of 2010211122100 in words is "two trillion, ten billion, two hundred eleven million, one hundred twenty-two thousand, one hundred".