10100000009377 has 2 divisors, whose sum is σ = 10100000009378. Its totient is φ = 10100000009376.

The previous prime is 10100000009371. The next prime is 10100000009401. The reversal of 10100000009377 is 77390000000101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8251825014801 + 1848174994576 = 2872599^2 + 1359476^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100000009377 - 2⁷ = 10100000009249 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100000009371) 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, 5050000004688 + 5050000004689.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000004689).

Almost surely, 2^{10100000009377} is an apocalyptic number.

It is an amenable number.

10100000009377 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100000009377 is an equidigital number, since it uses as much as digits as its factorization.

10100000009377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1323, while the sum is 28.

Adding to 10100000009377 its reverse (77390000000101), we get a palindrome (87490000009478).

The spelling of 10100000009377 in words is "ten trillion, one hundred billion, nine thousand, three hundred seventy-seven".