10106885122837 has 2 divisors, whose sum is σ = 10106885122838. Its totient is φ = 10106885122836.

The previous prime is 10106885122823. The next prime is 10106885122897. The reversal of 10106885122837 is 73822158860101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8072650420081 + 2034234702756 = 2841241^2 + 1426266^2 .

It is an emirp because it is prime and its reverse (73822158860101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10106885122837 - 2²⁷ = 10106750905109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10106885122897) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053442561418 + 5053442561419.

It is an arithmetic number, because the mean of its divisors is an integer number (5053442561419).

Almost surely, 2^{10106885122837} is an apocalyptic number.

It is an amenable number.

10106885122837 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106885122837 is an equidigital number, since it uses as much as digits as its factorization.

10106885122837 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1290240, while the sum is 52.

The spelling of 10106885122837 in words is "ten trillion, one hundred six billion, eight hundred eighty-five million, one hundred twenty-two thousand, eight hundred thirty-seven".