100409932682077 has 2 divisors, whose sum is σ = 100409932682078. Its totient is φ = 100409932682076.

The previous prime is 100409932682051. The next prime is 100409932682131. The reversal of 100409932682077 is 770286239904001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84940664938276 + 15469267743801 = 9216326^2 + 3933099^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100409932682077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100409932682977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50204966341038 + 50204966341039.

It is an arithmetic number, because the mean of its divisors is an integer number (50204966341039).

Almost surely, 2^{100409932682077} is an apocalyptic number.

It is an amenable number.

100409932682077 is a deficient number, since it is larger than the sum of its proper divisors (1).

100409932682077 is an equidigital number, since it uses as much as digits as its factorization.

100409932682077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9144576, while the sum is 58.

The spelling of 100409932682077 in words is "one hundred trillion, four hundred nine billion, nine hundred thirty-two million, six hundred eighty-two thousand, seventy-seven".