2100122835200 has 864 divisors, whose sum is σ = 6203994585600. Its totient is φ = 696729600000.

The previous prime is 2100122835197. The next prime is 2100122835233. The reversal of 2100122835200 is 25382210012.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2100122835200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2796434825 + ... + 2796435575.

Almost surely, 2^{2100122835200} is an apocalyptic number.

2100122835200 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 2100122835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101997292800).

2100122835200 is an abundant number, since it is smaller than the sum of its proper divisors (4103871750400).

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

2100122835200 is a wasteful number, since it uses less digits than its factorization.

2100122835200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 2100122835200 in words is "two trillion, one hundred billion, one hundred twenty-two million, eight hundred thirty-five thousand, two hundred".