2100020045200 has 480 divisors, whose sum is σ = 6628837155840. Its totient is φ = 619396761600.

The previous prime is 2100020045183. The next prime is 2100020045243. The reversal of 2100020045200 is 25400200012.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 750810202 + ... + 750812998.

It is an arithmetic number, because the mean of its divisors is an integer number (13810077408).

Almost surely, 2^{2100020045200} is an apocalyptic number.

2100020045200 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 2100020045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314418577920).

2100020045200 is an abundant number, since it is smaller than the sum of its proper divisors (4528817110640).

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

2100020045200 is a wasteful number, since it uses less digits than its factorization.

2100020045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4124 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 2100020045200 its reverse (25400200012), we get a palindrome (2125420245212).

The spelling of 2100020045200 in words is "two trillion, one hundred billion, twenty million, forty-five thousand, two hundred".