100100605610077 has 2 divisors, whose sum is σ = 100100605610078. Its totient is φ = 100100605610076.

The previous prime is 100100605610069. The next prime is 100100605610087. The reversal of 100100605610077 is 770016506001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87898012655236 + 12202592954841 = 9375394^2 + 3493221^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100605610077 - 2³ = 100100605610069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100605610087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050302805038 + 50050302805039.

It is an arithmetic number, because the mean of its divisors is an integer number (50050302805039).

Almost surely, 2^{100100605610077} is an apocalyptic number.

It is an amenable number.

100100605610077 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100605610077 is an equidigital number, since it uses as much as digits as its factorization.

100100605610077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 34.

The spelling of 100100605610077 in words is "one hundred trillion, one hundred billion, six hundred five million, six hundred ten thousand, seventy-seven".