100561436777 has 2 divisors, whose sum is σ = 100561436778. Its totient is φ = 100561436776.

The previous prime is 100561436749. The next prime is 100561436821. The reversal of 100561436777 is 777634165001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67231822681 + 33329614096 = 259291^2 + 182564^2 .

It is a cyclic number.

It is not a de Polignac number, because 100561436777 - 2¹⁰ = 100561435753 is a prime.

It is a super-2 number, since 2×100561436777² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100561436707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50280718388 + 50280718389.

It is an arithmetic number, because the mean of its divisors is an integer number (50280718389).

Almost surely, 2^100561436777 is an apocalyptic number.

It is an amenable number.

100561436777 is a deficient number, since it is larger than the sum of its proper divisors (1).

100561436777 is an equidigital number, since it uses as much as digits as its factorization.

100561436777 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 740880, while the sum is 47.

The spelling of 100561436777 in words is "one hundred billion, five hundred sixty-one million, four hundred thirty-six thousand, seven hundred seventy-seven".