10102073997376 has 21 divisors (see below), whose sum is σ = 20046353545389. Its totient is φ = 5051024285184.

The previous prime is 10102073997349. The next prime is 10102073997377. The reversal of 10102073997376 is 67379937020101.

The square root of 10102073997376 is 3178376.

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

It can be written as a sum of positive squares in only one way, i.e., 9312506689600 + 789567307776 = 3051640^2 + 888576^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102073997377) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 25228360 + ... + 25625656.

Almost surely, 2^{10102073997376} is an apocalyptic number.

10102073997376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10102073997376 is the 3178376-th square number.

It is an amenable number.

10102073997376 is a deficient number, since it is larger than the sum of its proper divisors (9944279548013).

10102073997376 is an frugal number, since it uses more digits than its factorization.

10102073997376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794606 (or 397299 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 55.

The spelling of 10102073997376 in words is "ten trillion, one hundred two billion, seventy-three million, nine hundred ninety-seven thousand, three hundred seventy-six".