10101038477993 has 16 divisors (see below), whose sum is σ = 10582398199296. Its totient is φ = 9630066040320.

The previous prime is 10101038477963. The next prime is 10101038478007. The reversal of 10101038477993 is 39977483010101.

It is a cyclic number.

It is not a de Polignac number, because 10101038477993 - 2³⁸ = 9826160571049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101038477903) 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, 4652330 + ... + 6468867.

It is an arithmetic number, because the mean of its divisors is an integer number (661399887456).

Almost surely, 2^{10101038477993} is an apocalyptic number.

It is an amenable number.

10101038477993 is a deficient number, since it is larger than the sum of its proper divisors (481359721303).

10101038477993 is a wasteful number, since it uses less digits than its factorization.

10101038477993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11121664.

The product of its (nonzero) digits is 1143072, while the sum is 53.

The spelling of 10101038477993 in words is "ten trillion, one hundred one billion, thirty-eight million, four hundred seventy-seven thousand, nine hundred ninety-three".