10119744747001 has 32 divisors (see below), whose sum is σ = 10821723100160. Its totient is φ = 9435885613056.

The previous prime is 10119744746983. The next prime is 10119744747037. The reversal of 10119744747001 is 10074744791101.

It is a happy number.

It is a Cunningham number, because it is equal to 21630³+1.

It is a cyclic number.

It is not a de Polignac number, because 10119744747001 - 2¹¹ = 10119744744953 is a prime.

It is a Duffinian number.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 10119744747001 = 1³ + 21630³ = 3088³ + 21609³.

It is not an unprimeable number, because it can be changed into a prime (10119744742001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409743685 + ... + 409768381.

It is an arithmetic number, because the mean of its divisors is an integer number (338178846880).

Almost surely, 2^{10119744747001} is an apocalyptic number.

It is an amenable number.

10119744747001 is a deficient number, since it is larger than the sum of its proper divisors (701978353159).

10119744747001 is a wasteful number, since it uses less digits than its factorization.

10119744747001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26033.

The product of its (nonzero) digits is 197568, while the sum is 46.

The spelling of 10119744747001 in words is "ten trillion, one hundred nineteen billion, seven hundred forty-four million, seven hundred forty-seven thousand, one".