10122693097924 has 243 divisors, whose sum is σ = 21251165905767. Its totient is φ = 4215007526400.

The previous prime is 10122693097921. The next prime is 10122693097943. The reversal of 10122693097924 is 42979039622101.

It is a happy number.

The square root of 10122693097924 is 3181618.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1426280832900 + 8696412265024 = 1194270^2 + 2948968^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122693097921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 55926481114 + ... + 55926481294.

Almost surely, 2^{10122693097924} is an apocalyptic number.

10122693097924 is the 3181618-th square number.

It is an amenable number.

10122693097924 is an abundant number, since it is smaller than the sum of its proper divisors (11128472807843).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10122693097924 is a wasteful number, since it uses less digits than its factorization.

10122693097924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The spelling of 10122693097924 in words is "ten trillion, one hundred twenty-two billion, six hundred ninety-three million, ninety-seven thousand, nine hundred twenty-four".