2102111300100 has 144 divisors (see below), whose sum is σ = 6951507602816. Its totient is φ = 480446208000.

The previous prime is 2102111300071. The next prime is 2102111300123. The reversal of 2102111300100 is 10031112012.

It is a super-2 number, since 2×2102111300100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35756730 + ... + 35815470.

Almost surely, 2^{2102111300100} is an apocalyptic number.

2102111300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102111300100 is an abundant number, since it is smaller than the sum of its proper divisors (4849396302716).

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

2102111300100 is a wasteful number, since it uses less digits than its factorization.

2102111300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75806 (or 75799 counting only the distinct ones).

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

Adding to 2102111300100 its reverse (10031112012), we get a palindrome (2112142412112).

The spelling of 2102111300100 in words is "two trillion, one hundred two billion, one hundred eleven million, three hundred thousand, one hundred".