1052100100000 has 72 divisors (see below), whose sum is σ = 2588987130156. Its totient is φ = 420840000000.

The previous prime is 1052100099979. The next prime is 1052100100013. The reversal of 1052100100000 is 10012501.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 215292288016 + 836807811984 = 463996^2 + 914772^2 .

It is a super-2 number, since 2×1052100100000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 1052100100000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5160501 + ... + 5360500.

Almost surely, 2^{1052100100000} is an apocalyptic number.

1052100100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052100100000 is an abundant number, since it is smaller than the sum of its proper divisors (1536887030156).

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

1052100100000 is an frugal number, since it uses more digits than its factorization.

1052100100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10521036 (or 10521008 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

Adding to 1052100100000 its reverse (10012501), we get a palindrome (1052110112501).

The spelling of 1052100100000 in words is "one trillion, fifty-two billion, one hundred million, one hundred thousand".