100017100728977 has 2 divisors, whose sum is σ = 100017100728978. Its totient is φ = 100017100728976.

The previous prime is 100017100728967. The next prime is 100017100729061. The reversal of 100017100728977 is 779827001710001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67171776913921 + 32845323815056 = 8195839^2 + 5731084^2 .

It is a cyclic number.

It is not a de Polignac number, because 100017100728977 - 2¹² = 100017100724881 is a prime.

It is not a weakly prime, because it can be changed into another prime (100017100728947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50008550364488 + 50008550364489.

It is an arithmetic number, because the mean of its divisors is an integer number (50008550364489).

Almost surely, 2^{100017100728977} is an apocalyptic number.

It is an amenable number.

100017100728977 is a deficient number, since it is larger than the sum of its proper divisors (1).

100017100728977 is an equidigital number, since it uses as much as digits as its factorization.

100017100728977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 345744, while the sum is 50.

The spelling of 100017100728977 in words is "one hundred trillion, seventeen billion, one hundred million, seven hundred twenty-eight thousand, nine hundred seventy-seven".