2100001102200 has 576 divisors, whose sum is σ = 8088384096000. Its totient is φ = 499312097280.

The previous prime is 2100001102169. The next prime is 2100001102289. The reversal of 2100001102200 is 22011000012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29615989 + ... + 29686811.

It is an arithmetic number, because the mean of its divisors is an integer number (14042333500).

Almost surely, 2^{2100001102200} is an apocalyptic number.

2100001102200 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 2100001102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4044192048000).

2100001102200 is an abundant number, since it is smaller than the sum of its proper divisors (5988382993800).

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

2100001102200 is a wasteful number, since it uses less digits than its factorization.

2100001102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70901 (or 70869 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2100001102200 its reverse (22011000012), we get a palindrome (2122012102212).

The spelling of 2100001102200 in words is "two trillion, one hundred billion, one million, one hundred two thousand, two hundred".