2100000002100 has 864 divisors, whose sum is σ = 8740865548800. Its totient is φ = 381590092800.

The previous prime is 2100000002063. The next prime is 2100000002117. The reversal of 2100000002100 is 12000000012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 287 ways as a sum of consecutive naturals, for example, 39913611 + ... + 39966189.

Almost surely, 2^{2100000002100} is an apocalyptic number.

2100000002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100000002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370432774400).

2100000002100 is an abundant number, since it is smaller than the sum of its proper divisors (6640865546700).

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

2100000002100 is a wasteful number, since it uses less digits than its factorization.

2100000002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52653 (or 52639 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 2100000002100 its reverse (12000000012), we get a palindrome (2112000002112).

The spelling of 2100000002100 in words is "two trillion, one hundred billion, two thousand, one hundred".