10011121100993 has 8 divisors (see below), whose sum is σ = 10602802326312. Its totient is φ = 9419750070016.

The previous prime is 10011121100947. The next prime is 10011121101019. The reversal of 10011121100993 is 39900112111001.

It can be written as a sum of positive squares in 4 ways, for example, as 1653569671744 + 8357551429249 = 1285912^2 + 2890943^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10011121100993 - 2¹⁶ = 10011121035457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011121103993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77482130 + ... + 77611227.

It is an arithmetic number, because the mean of its divisors is an integer number (1325350290789).

Almost surely, 2^{10011121100993} is an apocalyptic number.

It is an amenable number.

10011121100993 is a deficient number, since it is larger than the sum of its proper divisors (591681225319).

10011121100993 is a wasteful number, since it uses less digits than its factorization.

10011121100993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155097171.

The product of its (nonzero) digits is 486, while the sum is 29.

Adding to 10011121100993 its reverse (39900112111001), we get a palindrome (49911233211994).

The spelling of 10011121100993 in words is "ten trillion, eleven billion, one hundred twenty-one million, one hundred thousand, nine hundred ninety-three".