100101011109977 has 2 divisors, whose sum is σ = 100101011109978. Its totient is φ = 100101011109976.

The previous prime is 100101011109949. The next prime is 100101011110003. The reversal of 100101011109977 is 779901110101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86878449781321 + 13222561328656 = 9320861^2 + 3636284^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101011109977 - 2³⁰ = 100099937368153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100101011109977.

It is not a weakly prime, because it can be changed into another prime (100101011109877) 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, 50050505554988 + 50050505554989.

It is an arithmetic number, because the mean of its divisors is an integer number (50050505554989).

Almost surely, 2^{100101011109977} is an apocalyptic number.

It is an amenable number.

100101011109977 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101011109977 is an equidigital number, since it uses as much as digits as its factorization.

100101011109977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3969, while the sum is 38.

The spelling of 100101011109977 in words is "one hundred trillion, one hundred one billion, eleven million, one hundred nine thousand, nine hundred seventy-seven".