2052102072200 has 96 divisors (see below), whose sum is σ = 5054200963560. Its totient is φ = 772187750400.

The previous prime is 2052102072143. The next prime is 2052102072247. The reversal of 2052102072200 is 22702012502.

It can be written as a sum of positive squares in 12 ways, for example, as 60848062276 + 1991254009924 = 246674^2 + 1411118^2 .

It is a super-2 number, since 2×2052102072200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7041380 + ... + 7327020.

Almost surely, 2^{2052102072200} is an apocalyptic number.

2052102072200 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 2052102072200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527100481780).

2052102072200 is an abundant number, since it is smaller than the sum of its proper divisors (3002098891360).

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

2052102072200 is a wasteful number, since it uses less digits than its factorization.

2052102072200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287787 (or 287778 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

Adding to 2052102072200 its reverse (22702012502), we get a palindrome (2074804084702).

The spelling of 2052102072200 in words is "two trillion, fifty-two billion, one hundred two million, seventy-two thousand, two hundred".