10010011100993 has 32 divisors (see below), whose sum is σ = 10638899251200. Its totient is φ = 9404588344320.

The previous prime is 10010011100983. The next prime is 10010011101017. The reversal of 10010011100993 is 39900111001001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10010011100993 - 2²⁶ = 10009943992129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010011100983) 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, 64306505 + ... + 64461977.

It is an arithmetic number, because the mean of its divisors is an integer number (332465601600).

Almost surely, 2^{10010011100993} is an apocalyptic number.

It is an amenable number.

10010011100993 is a deficient number, since it is larger than the sum of its proper divisors (628888150207).

10010011100993 is a wasteful number, since it uses less digits than its factorization.

10010011100993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155969.

The product of its (nonzero) digits is 243, while the sum is 26.

Adding to 10010011100993 its reverse (39900111001001), we get a palindrome (49910122101994).

The spelling of 10010011100993 in words is "ten trillion, ten billion, eleven million, one hundred thousand, nine hundred ninety-three".