10012133120490 has 24 divisors (see below), whose sum is σ = 26031546113508. Its totient is φ = 2669902165440.

The previous prime is 10012133120489. The next prime is 10012133120527. The reversal of 10012133120490 is 9402133121001.

10012133120490 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 21 + 33 + 120 + 490 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10008928088721 + 3205031769 = 3163689^2 + 56613^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55622961691 + ... + 55622961870.

Almost surely, 2^{10012133120490} is an apocalyptic number.

10012133120490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10012133120490 is an abundant number, since it is smaller than the sum of its proper divisors (16019412993018).

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

10012133120490 is a wasteful number, since it uses less digits than its factorization.

10012133120490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111245923574 (or 111245923571 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 10012133120490 its reverse (9402133121001), we get a palindrome (19414266241491).

The spelling of 10012133120490 in words is "ten trillion, twelve billion, one hundred thirty-three million, one hundred twenty thousand, four hundred ninety".