10100200010977 has 2 divisors, whose sum is σ = 10100200010978. Its totient is φ = 10100200010976.

The previous prime is 10100200010963. The next prime is 10100200011001. The reversal of 10100200010977 is 77901000200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6354024276961 + 3746175734016 = 2520719^2 + 1935504^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100200010977 - 2²³ = 10100191622369 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100200010917) 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, 5050100005488 + 5050100005489.

It is an arithmetic number, because the mean of its divisors is an integer number (5050100005489).

Almost surely, 2^{10100200010977} is an apocalyptic number.

It is an amenable number.

10100200010977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100200010977 is an equidigital number, since it uses as much as digits as its factorization.

10100200010977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 882, while the sum is 28.

The spelling of 10100200010977 in words is "ten trillion, one hundred billion, two hundred million, ten thousand, nine hundred seventy-seven".