101006816132737 has 2 divisors, whose sum is σ = 101006816132738. Its totient is φ = 101006816132736.

The previous prime is 101006816132723. The next prime is 101006816132759. The reversal of 101006816132737 is 737231618600101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98560498039696 + 2446318093041 = 9927764^2 + 1564071^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101006816132737 is a prime.

It is a super-2 number, since 2×101006816132737² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101006816132777) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50503408066368 + 50503408066369.

It is an arithmetic number, because the mean of its divisors is an integer number (50503408066369).

Almost surely, 2^{101006816132737} is an apocalyptic number.

It is an amenable number.

101006816132737 is a deficient number, since it is larger than the sum of its proper divisors (1).

101006816132737 is an equidigital number, since it uses as much as digits as its factorization.

101006816132737 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 101006816132737 in words is "one hundred one trillion, six billion, eight hundred sixteen million, one hundred thirty-two thousand, seven hundred thirty-seven".