10122102100973 has 2 divisors, whose sum is σ = 10122102100974. Its totient is φ = 10122102100972.

The previous prime is 10122102100951. The next prime is 10122102101039. The reversal of 10122102100973 is 37900120122101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8394712353769 + 1727389747204 = 2897363^2 + 1314302^2 .

It is an emirp because it is prime and its reverse (37900120122101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10122102100973 - 2²⁶ = 10122034992109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122102106973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061051050486 + 5061051050487.

It is an arithmetic number, because the mean of its divisors is an integer number (5061051050487).

Almost surely, 2^{10122102100973} is an apocalyptic number.

It is an amenable number.

10122102100973 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122102100973 is an equidigital number, since it uses as much as digits as its factorization.

10122102100973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 29.

The spelling of 10122102100973 in words is "ten trillion, one hundred twenty-two billion, one hundred two million, one hundred thousand, nine hundred seventy-three".