2100111102100 has 54 divisors (see below), whose sum is σ = 5009198914622. Its totient is φ = 763676760000.

The previous prime is 2100111102083. The next prime is 2100111102127. The reversal of 2100111102100 is 12011110012.

It can be written as a sum of positive squares in 3 ways, for example, as 449739231876 + 1650371870224 = 670626^2 + 1284668^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 86769351 + ... + 86793550.

Almost surely, 2^{2100111102100} is an apocalyptic number.

2100111102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100111102100 is an abundant number, since it is smaller than the sum of its proper divisors (2909087812522).

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

2100111102100 is a wasteful number, since it uses less digits than its factorization.

2100111102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173562937 (or 173562919 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2100111102100 its reverse (12011110012), we get a palindrome (2112122212112).

The spelling of 2100111102100 in words is "two trillion, one hundred billion, one hundred eleven million, one hundred two thousand, one hundred".