2101025620200 has 384 divisors, whose sum is σ = 7397751513600. Its totient is φ = 489000913920.

The previous prime is 2101025620189. The next prime is 2101025620201. The reversal of 2101025620200 is 20265201012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2101025620201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77495047 + ... + 77522153.

It is an arithmetic number, because the mean of its divisors is an integer number (19264977900).

Almost surely, 2^{2101025620200} is an apocalyptic number.

2101025620200 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 2101025620200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698875756800).

2101025620200 is an abundant number, since it is smaller than the sum of its proper divisors (5296725893400).

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

2101025620200 is a wasteful number, since it uses less digits than its factorization.

2101025620200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27681 (or 27672 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 2101025620200 in words is "two trillion, one hundred one billion, twenty-five million, six hundred twenty thousand, two hundred".