101007914849 has 2 divisors, whose sum is σ = 101007914850. Its totient is φ = 101007914848.

The previous prime is 101007914803. The next prime is 101007914857. The reversal of 101007914849 is 948419700101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81335047249 + 19672867600 = 285193^2 + 140260^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101007914849 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101007914869) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50503957424 + 50503957425.

It is an arithmetic number, because the mean of its divisors is an integer number (50503957425).

Almost surely, 2^101007914849 is an apocalyptic number.

It is an amenable number.

101007914849 is a deficient number, since it is larger than the sum of its proper divisors (1).

101007914849 is an equidigital number, since it uses as much as digits as its factorization.

101007914849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72576, while the sum is 44.

The spelling of 101007914849 in words is "one hundred one billion, seven million, nine hundred fourteen thousand, eight hundred forty-nine".