100010100010049 has 2 divisors, whose sum is σ = 100010100010050. Its totient is φ = 100010100010048.

The previous prime is 100010100009979. The next prime is 100010100010069. The reversal of 100010100010049 is 940010001010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98350558324225 + 1659541685824 = 9917185^2 + 1288232^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100010100010049 is a prime.

It is not a weakly prime, because it can be changed into another prime (100010100010069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005050005024 + 50005050005025.

It is an arithmetic number, because the mean of its divisors is an integer number (50005050005025).

Almost surely, 2^{100010100010049} is an apocalyptic number.

It is an amenable number.

100010100010049 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010100010049 is an equidigital number, since it uses as much as digits as its factorization.

100010100010049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 100010100010049 in words is "one hundred trillion, ten billion, one hundred million, ten thousand, forty-nine".