10137266101 has 2 divisors, whose sum is σ = 10137266102. Its totient is φ = 10137266100.

The previous prime is 10137266081. The next prime is 10137266131. The reversal of 10137266101 is 10166273101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9408806001 + 728460100 = 96999^2 + 26990^2 .

It is a cyclic number.

It is not a de Polignac number, because 10137266101 - 2³¹ = 7989782453 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10137266101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10137266131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5068633050 + 5068633051.

It is an arithmetic number, because the mean of its divisors is an integer number (5068633051).

Almost surely, 2^10137266101 is an apocalyptic number.

It is an amenable number.

10137266101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10137266101 is an equidigital number, since it uses as much as digits as its factorization.

10137266101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 10137266101 in words is "ten billion, one hundred thirty-seven million, two hundred sixty-six thousand, one hundred one".