100461637850477 has 2 divisors, whose sum is σ = 100461637850478. Its totient is φ = 100461637850476.

The previous prime is 100461637850429. The next prime is 100461637850489. The reversal of 100461637850477 is 774058736164001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89742162418756 + 10719475431721 = 9473234^2 + 3274061^2 .

It is an emirp because it is prime and its reverse (774058736164001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100461637850477 - 2⁴⁶ = 30092893672813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100461637850407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50230818925238 + 50230818925239.

It is an arithmetic number, because the mean of its divisors is an integer number (50230818925239).

Almost surely, 2^{100461637850477} is an apocalyptic number.

It is an amenable number.

100461637850477 is a deficient number, since it is larger than the sum of its proper divisors (1).

100461637850477 is an equidigital number, since it uses as much as digits as its factorization.

100461637850477 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23708160, while the sum is 59.

The spelling of 100461637850477 in words is "one hundred trillion, four hundred sixty-one billion, six hundred thirty-seven million, eight hundred fifty thousand, four hundred seventy-seven".