10271124144 has 60 divisors (see below), whose sum is σ = 28775937736. Its totient is φ = 3420009216.

The previous prime is 10271124137. The next prime is 10271124151. The reversal of 10271124144 is 44142117201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10271124137) and next prime (10271124151).

It is a super-3 number, since 3×10271124144³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96867 + ... + 172989.

Almost surely, 2^10271124144 is an apocalyptic number.

It is an amenable number.

10271124144 is an abundant number, since it is smaller than the sum of its proper divisors (18504813592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10271124144 is a wasteful number, since it uses less digits than its factorization.

10271124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77074 (or 77065 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 10271124144 in words is "ten billion, two hundred seventy-one million, one hundred twenty-four thousand, one hundred forty-four".