10122010100993 has 4 divisors (see below), whose sum is σ = 11568011544000. Its totient is φ = 8676008657988.

The previous prime is 10122010100989. The next prime is 10122010101037. The reversal of 10122010100993 is 39900101022101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 10122010100993 - 2² = 10122010100989 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122010100693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 723000721493 + ... + 723000721506.

It is an arithmetic number, because the mean of its divisors is an integer number (2892002886000).

Almost surely, 2^{10122010100993} is an apocalyptic number.

It is an amenable number.

10122010100993 is a deficient number, since it is larger than the sum of its proper divisors (1446001443007).

10122010100993 is an equidigital number, since it uses as much as digits as its factorization.

10122010100993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446001443006.

The product of its (nonzero) digits is 972, while the sum is 29.

The spelling of 10122010100993 in words is "ten trillion, one hundred twenty-two billion, ten million, one hundred thousand, nine hundred ninety-three".