10211283112000 has 56 divisors (see below), whose sum is σ = 25288242646680. Its totient is φ = 4084513241600.

The previous prime is 10211283111941. The next prime is 10211283112001. The reversal of 10211283112000 is 21138211201.

It can be written as a sum of positive squares in 4 ways, for example, as 33243499584 + 10178039612416 = 182328^2 + 3190304^2 .

It is not an unprimeable number, because it can be changed into a prime (10211283112001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 638197195 + ... + 638213194.

Almost surely, 2^{10211283112000} is an apocalyptic number.

10211283112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211283112000 is an abundant number, since it is smaller than the sum of its proper divisors (15076959534680).

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

10211283112000 is an equidigital number, since it uses as much as digits as its factorization.

10211283112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276410416 (or 1276410396 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

The spelling of 10211283112000 in words is "ten trillion, two hundred eleven billion, two hundred eighty-three million, one hundred twelve thousand".