100131000122977 has 2 divisors, whose sum is σ = 100131000122978. Its totient is φ = 100131000122976.

The previous prime is 100131000122891. The next prime is 100131000123029. The reversal of 100131000122977 is 779221000131001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60977997763281 + 39153002359696 = 7808841^2 + 6257236^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100131000122977 is a prime.

It is not a weakly prime, because it can be changed into another prime (100131000122477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50065500061488 + 50065500061489.

It is an arithmetic number, because the mean of its divisors is an integer number (50065500061489).

Almost surely, 2^{100131000122977} is an apocalyptic number.

It is an amenable number.

100131000122977 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131000122977 is an equidigital number, since it uses as much as digits as its factorization.

100131000122977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5292, while the sum is 34.

Adding to 100131000122977 its reverse (779221000131001), we get a palindrome (879352000253978).

The spelling of 100131000122977 in words is "one hundred trillion, one hundred thirty-one billion, one hundred twenty-two thousand, nine hundred seventy-seven".