2001100199977 has 2 divisors, whose sum is σ = 2001100199978. Its totient is φ = 2001100199976.

The previous prime is 2001100199947. The next prime is 2001100200049. The reversal of 2001100199977 is 7799910011002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1738734969321 + 262365230656 = 1318611^2 + 512216^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2001100199977 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001100199927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000550099988 + 1000550099989.

It is an arithmetic number, because the mean of its divisors is an integer number (1000550099989).

Almost surely, 2^{2001100199977} is an apocalyptic number.

It is an amenable number.

2001100199977 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001100199977 is an equidigital number, since it uses as much as digits as its factorization.

2001100199977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 71442, while the sum is 46.

The spelling of 2001100199977 in words is "two trillion, one billion, one hundred million, one hundred ninety-nine thousand, nine hundred seventy-seven".