1052100712100 has 72 divisors (see below), whose sum is σ = 2371922640360. Its totient is φ = 404584391680.

The previous prime is 1052100712087. The next prime is 1052100712109. The reversal of 1052100712100 is 12170012501.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 533101499044 + 518999213056 = 730138^2 + 720416^2 .

It is a super-2 number, since 2×1052100712100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1052100712109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102827 + ... + 1454226.

It is an arithmetic number, because the mean of its divisors is an integer number (32943370005).

Almost surely, 2^{1052100712100} is an apocalyptic number.

1052100712100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052100712100 is an abundant number, since it is smaller than the sum of its proper divisors (1319821928260).

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

1052100712100 is a wasteful number, since it uses less digits than its factorization.

1052100712100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557329 (or 1557322 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 20.

Adding to 1052100712100 its reverse (12170012501), we get a palindrome (1064270724601).

The spelling of 1052100712100 in words is "one trillion, fifty-two billion, one hundred million, seven hundred twelve thousand, one hundred".