10027112249 has 32 divisors (see below), whose sum is σ = 12643802112. Its totient is φ = 7724808000.

The previous prime is 10027112237. The next prime is 10027112279. The reversal of 10027112249 is 94221172001.

It is not a de Polignac number, because 10027112249 - 2¹⁶ = 10027046713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10027112279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2548814 + ... + 2552744.

It is an arithmetic number, because the mean of its divisors is an integer number (395118816).

Almost surely, 2^10027112249 is an apocalyptic number.

It is an amenable number.

10027112249 is a deficient number, since it is larger than the sum of its proper divisors (2616689863).

10027112249 is a wasteful number, since it uses less digits than its factorization.

10027112249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317.

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 10027112249 in words is "ten billion, twenty-seven million, one hundred twelve thousand, two hundred forty-nine".