10737125101 has 2 divisors, whose sum is σ = 10737125102. Its totient is φ = 10737125100.

The previous prime is 10737125083. The next prime is 10737125107. The reversal of 10737125101 is 10152173701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8108102025 + 2629023076 = 90045^2 + 51274^2 .

It is a cyclic number.

It is not a de Polignac number, because 10737125101 - 2⁷ = 10737124973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10737125101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10737125107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5368562550 + 5368562551.

It is an arithmetic number, because the mean of its divisors is an integer number (5368562551).

Almost surely, 2^10737125101 is an apocalyptic number.

It is an amenable number.

10737125101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10737125101 is an equidigital number, since it uses as much as digits as its factorization.

10737125101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1470, while the sum is 28.

Adding to 10737125101 its reverse (10152173701), we get a palindrome (20889298802).

The spelling of 10737125101 in words is "ten billion, seven hundred thirty-seven million, one hundred twenty-five thousand, one hundred one".