10012742721 has 16 divisors (see below), whose sum is σ = 15614414400. Its totient is φ = 6323837184.

The previous prime is 10012742699. The next prime is 10012742771. The reversal of 10012742721 is 12724721001.

It is a happy number.

It is not a de Polignac number, because 10012742721 - 2⁶ = 10012742657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10012742771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9758496 + ... + 9759521.

It is an arithmetic number, because the mean of its divisors is an integer number (975900900).

Almost surely, 2^10012742721 is an apocalyptic number.

It is an amenable number.

10012742721 is a deficient number, since it is larger than the sum of its proper divisors (5601671679).

10012742721 is a wasteful number, since it uses less digits than its factorization.

10012742721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19518045 (or 19518039 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 10012742721 in words is "ten billion, twelve million, seven hundred forty-two thousand, seven hundred twenty-one".