2110100242100 has 36 divisors (see below), whose sum is σ = 4586536487148. Its totient is φ = 842635680000.

The previous prime is 2110100242043. The next prime is 2110100242121. The reversal of 2110100242100 is 12420010112.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 233600656 + 2109866641444 = 15284^2 + 1452538^2 .

It is a super-2 number, since 2×2110100242100² (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 11 ways as a sum of consecutive naturals, for example, 17494811 + ... + 17615010.

Almost surely, 2^{2110100242100} is an apocalyptic number.

2110100242100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110100242100 is an abundant number, since it is smaller than the sum of its proper divisors (2476436245048).

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

2110100242100 is a wasteful number, since it uses less digits than its factorization.

2110100242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35110436 (or 35110429 counting only the distinct ones).

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

Adding to 2110100242100 its reverse (12420010112), we get a palindrome (2122520252212).

The spelling of 2110100242100 in words is "two trillion, one hundred ten billion, one hundred million, two hundred forty-two thousand, one hundred".