10122000993 has 108 divisors (see below), whose sum is σ = 16883544132. Its totient is φ = 5837045760.

The previous prime is 10122000961. The next prime is 10122001009. The reversal of 10122000993 is 39900022101.

10122000993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 18 ways, for example, as 10121969664 + 31329 = 100608^2 + 177^2 .

It is not a de Polignac number, because 10122000993 - 2⁵ = 10122000961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10122000913) 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 107 ways as a sum of consecutive naturals, for example, 52445505 + ... + 52445697.

Almost surely, 2^10122000993 is an apocalyptic number.

10122000993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10122000993 is a deficient number, since it is larger than the sum of its proper divisors (6761543139).

10122000993 is a wasteful number, since it uses less digits than its factorization.

10122000993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 10122000993 in words is "ten billion, one hundred twenty-two million, nine hundred ninety-three", and thus it is an aban number.