10100107912849 has 2 divisors, whose sum is σ = 10100107912850. Its totient is φ = 10100107912848.

The previous prime is 10100107912837. The next prime is 10100107912859. The reversal of 10100107912849 is 94821970100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9767300071824 + 332807841025 = 3125268^2 + 576895^2 .

It is an emirp because it is prime and its reverse (94821970100101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100107912849 - 2³¹ = 10097960429201 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100107912859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050053956424 + 5050053956425.

It is an arithmetic number, because the mean of its divisors is an integer number (5050053956425).

Almost surely, 2^{10100107912849} is an apocalyptic number.

It is an amenable number.

10100107912849 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100107912849 is an equidigital number, since it uses as much as digits as its factorization.

10100107912849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 43.

The spelling of 10100107912849 in words is "ten trillion, one hundred billion, one hundred seven million, nine hundred twelve thousand, eight hundred forty-nine".