10100122000993 has 4 divisors (see below), whose sum is σ = 10100289290260. Its totient is φ = 10099954711728.

The previous prime is 10100122000963. The next prime is 10100122001017. The reversal of 10100122000993 is 39900022100101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4817994270049 + 5282127730944 = 2194993^2 + 2298288^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100122000993 - 2⁹ = 10100122000481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100122000963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83554038 + ... + 83674831.

It is an arithmetic number, because the mean of its divisors is an integer number (2525072322565).

Almost surely, 2^{10100122000993} is an apocalyptic number.

It is an amenable number.

10100122000993 is a deficient number, since it is larger than the sum of its proper divisors (167289267).

10100122000993 is an equidigital number, since it uses as much as digits as its factorization.

10100122000993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167289266.

The product of its (nonzero) digits is 972, while the sum is 28.

The spelling of 10100122000993 in words is "ten trillion, one hundred billion, one hundred twenty-two million, nine hundred ninety-three", and thus it is an aban number.