100101100099877 has 2 divisors, whose sum is σ = 100101100099878. Its totient is φ = 100101100099876.

The previous prime is 100101100099789. The next prime is 100101100099939. The reversal of 100101100099877 is 778990001101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77902971502756 + 22198128597121 = 8826266^2 + 4711489^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101100099877 - 2²⁰ = 100101099051301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101100029877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050550049938 + 50050550049939.

It is an arithmetic number, because the mean of its divisors is an integer number (50050550049939).

Almost surely, 2^{100101100099877} is an apocalyptic number.

It is an amenable number.

100101100099877 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101100099877 is an equidigital number, since it uses as much as digits as its factorization.

100101100099877 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 44.

The spelling of 100101100099877 in words is "one hundred trillion, one hundred one billion, one hundred million, ninety-nine thousand, eight hundred seventy-seven".