202102101121200 has 240 divisors, whose sum is σ = 740176511980800. Its totient is φ = 46176638376960.

The previous prime is 202102101121087. The next prime is 202102101121243. The reversal of 202102101121200 is 2121101201202.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202102101121200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16692147 + ... + 26131053.

It is an arithmetic number, because the mean of its divisors is an integer number (3084068799920).

Almost surely, 2^{202102101121200} is an apocalyptic number.

202102101121200 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 202102101121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370088255990400).

202102101121200 is an abundant number, since it is smaller than the sum of its proper divisors (538074410859600).

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

202102101121200 is a wasteful number, since it uses less digits than its factorization.

202102101121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9441484 (or 9441473 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202102101121200 its reverse (2121101201202), we get a palindrome (204223202322402).

The spelling of 202102101121200 in words is "two hundred two trillion, one hundred two billion, one hundred one million, one hundred twenty-one thousand, two hundred".