10512202101012 has 60 divisors (see below), whose sum is σ = 27481646655540. Its totient is φ = 3503981441664.

The previous prime is 10512202100987. The next prime is 10512202101059. The reversal of 10512202101012 is 21010120221501.

10512202101012 is a `hidden beast` number, since 10 + 512 + 20 + 21 + 0 + 101 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5529815621136 + 4982386479876 = 2351556^2 + 2232126^2 .

It is a super-2 number, since 2×10512202101012² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13593664 + ... + 14346152.

It is an arithmetic number, because the mean of its divisors is an integer number (458027444259).

Almost surely, 2^{10512202101012} is an apocalyptic number.

10512202101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10512202101012 is an abundant number, since it is smaller than the sum of its proper divisors (16969444554528).

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

10512202101012 is a wasteful number, since it uses less digits than its factorization.

10512202101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795622 (or 795611 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 10512202101012 its reverse (21010120221501), we get a palindrome (31522322322513).

The spelling of 10512202101012 in words is "ten trillion, five hundred twelve billion, two hundred two million, one hundred one thousand, twelve".