2100001202200 has 192 divisors, whose sum is σ = 5368718880000. Its totient is φ = 757577664000.

The previous prime is 2100001202171. The next prime is 2100001202219. The reversal of 2100001202200 is 22021000012.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301244715 + ... + 301251685.

It is an arithmetic number, because the mean of its divisors is an integer number (27962077500).

Almost surely, 2^{2100001202200} is an apocalyptic number.

2100001202200 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 2100001202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684359440000).

2100001202200 is an abundant number, since it is smaller than the sum of its proper divisors (3268717677800).

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

2100001202200 is a wasteful number, since it uses less digits than its factorization.

2100001202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8066 (or 8057 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2100001202200 its reverse (22021000012), we get a palindrome (2122022202212).

The spelling of 2100001202200 in words is "two trillion, one hundred billion, one million, two hundred two thousand, two hundred".