10736972101 has 2 divisors, whose sum is σ = 10736972102. Its totient is φ = 10736972100.

The previous prime is 10736972063. The next prime is 10736972119. The reversal of 10736972101 is 10127963701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10672956100 + 64016001 = 103310^2 + 8001^2 .

It is an emirp because it is prime and its reverse (10127963701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10736972101 - 2³³ = 2147037509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10736972501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5368486050 + 5368486051.

It is an arithmetic number, because the mean of its divisors is an integer number (5368486051).

Almost surely, 2^10736972101 is an apocalyptic number.

It is an amenable number.

10736972101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10736972101 is an equidigital number, since it uses as much as digits as its factorization.

10736972101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15876, while the sum is 37.

The spelling of 10736972101 in words is "ten billion, seven hundred thirty-six million, nine hundred seventy-two thousand, one hundred one".