1001100099977 has 2 divisors, whose sum is σ = 1001100099978. Its totient is φ = 1001100099976.

The previous prime is 1001100099949. The next prime is 1001100100001. The reversal of 1001100099977 is 7799900011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 993249431161 + 7850668816 = 996619^2 + 88604^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001100099977 - 2⁶ = 1001100099913 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001100099277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550049988 + 500550049989.

It is an arithmetic number, because the mean of its divisors is an integer number (500550049989).

Almost surely, 2^{1001100099977} is an apocalyptic number.

It is an amenable number.

1001100099977 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001100099977 is an equidigital number, since it uses as much as digits as its factorization.

1001100099977 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 44.

The spelling of 1001100099977 in words is "one trillion, one billion, one hundred million, ninety-nine thousand, nine hundred seventy-seven".