10126272102761 has 8 divisors (see below), whose sum is σ = 10833975331200. Its totient is φ = 9436043028240.

The previous prime is 10126272102733. The next prime is 10126272102767. The reversal of 10126272102761 is 16720127262101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10126272102761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10126272102767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4368537281 + ... + 4368539598.

It is an arithmetic number, because the mean of its divisors is an integer number (1354246916400).

Almost surely, 2^{10126272102761} is an apocalyptic number.

It is an amenable number.

10126272102761 is a deficient number, since it is larger than the sum of its proper divisors (707703228439).

10126272102761 is an equidigital number, since it uses as much as digits as its factorization.

10126272102761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8737076959.

The product of its (nonzero) digits is 28224, while the sum is 38.

Adding to 10126272102761 its reverse (16720127262101), we get a palindrome (26846399364862).

The spelling of 10126272102761 in words is "ten trillion, one hundred twenty-six billion, two hundred seventy-two million, one hundred two thousand, seven hundred sixty-one".