2110221010100 has 108 divisors (see below), whose sum is σ = 5327322115500. Its totient is φ = 723433536000.

The previous prime is 2110221010039. The next prime is 2110221010123. The reversal of 2110221010100 is 10101220112.

It can be written as a sum of positive squares in 6 ways, for example, as 111339672976 + 1998881337124 = 333676^2 + 1413818^2 .

It is a super-2 number, since 2×2110221010100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85252526 + ... + 85277274.

It is an arithmetic number, because the mean of its divisors is an integer number (49327056625).

Almost surely, 2^{2110221010100} is an apocalyptic number.

2110221010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110221010100 is an abundant number, since it is smaller than the sum of its proper divisors (3217101105400).

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

2110221010100 is a wasteful number, since it uses less digits than its factorization.

2110221010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42178 (or 42164 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2110221010100 its reverse (10101220112), we get a palindrome (2120322230212).

The spelling of 2110221010100 in words is "two trillion, one hundred ten billion, two hundred twenty-one million, ten thousand, one hundred".