101011001099977 has 2 divisors, whose sum is σ = 101011001099978. Its totient is φ = 101011001099976.

The previous prime is 101011001099909. The next prime is 101011001100041. The reversal of 101011001099977 is 779990100110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69880638367296 + 31130362732681 = 8359464^2 + 5579459^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101011001099977 is a prime.

It is not a weakly prime, because it can be changed into another prime (101011001096977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505500549988 + 50505500549989.

It is an arithmetic number, because the mean of its divisors is an integer number (50505500549989).

Almost surely, 2^{101011001099977} is an apocalyptic number.

It is an amenable number.

101011001099977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011001099977 is an equidigital number, since it uses as much as digits as its factorization.

101011001099977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35721, while the sum is 46.

The spelling of 101011001099977 in words is "one hundred one trillion, eleven billion, one million, ninety-nine thousand, nine hundred seventy-seven".