10115201127 has 32 divisors (see below), whose sum is σ = 14505288192. Its totient is φ = 6247148544.

The previous prime is 10115201113. The next prime is 10115201147. The reversal of 10115201127 is 72110251101.

It is not a de Polignac number, because 10115201127 - 2⁴ = 10115201111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10115201147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2033998 + ... + 2038964.

It is an arithmetic number, because the mean of its divisors is an integer number (453290256).

Almost surely, 2^10115201127 is an apocalyptic number.

10115201127 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10115201127 is a deficient number, since it is larger than the sum of its proper divisors (4390087065).

10115201127 is a wasteful number, since it uses less digits than its factorization.

10115201127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5607.

The product of its (nonzero) digits is 140, while the sum is 21.

Adding to 10115201127 its reverse (72110251101), we get a palindrome (82225452228).

The spelling of 10115201127 in words is "ten billion, one hundred fifteen million, two hundred one thousand, one hundred twenty-seven".