10101271249 has 16 divisors (see below), whose sum is σ = 10286328528. Its totient is φ = 9918185472.

The previous prime is 10101271189. The next prime is 10101271273. The reversal of 10101271249 is 94217210101.

It can be written as a sum of positive squares in 8 ways, for example, as 344770624 + 9756500625 = 18568^2 + 98775^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101271249 - 2¹¹ = 10101269201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10101271949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12673719 + ... + 12674515.

It is an arithmetic number, because the mean of its divisors is an integer number (642895533).

Almost surely, 2^10101271249 is an apocalyptic number.

It is an amenable number.

10101271249 is a deficient number, since it is larger than the sum of its proper divisors (185057279).

10101271249 is an equidigital number, since it uses as much as digits as its factorization.

10101271249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764.

The product of its (nonzero) digits is 1008, while the sum is 28.

The spelling of 10101271249 in words is "ten billion, one hundred one million, two hundred seventy-one thousand, two hundred forty-nine".