10011120412125 has 128 divisors (see below), whose sum is σ = 19869128368128. Its totient is φ = 4376853465600.

The previous prime is 10011120412063. The next prime is 10011120412129. The reversal of 10011120412125 is 52121402111001.

It is not a de Polignac number, because 10011120412125 - 2⁹ = 10011120411613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011120412129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 767540854 + ... + 767553896.

It is an arithmetic number, because the mean of its divisors is an integer number (155227565376).

Almost surely, 2^{10011120412125} is an apocalyptic number.

10011120412125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10011120412125 is a deficient number, since it is larger than the sum of its proper divisors (9858007956003).

10011120412125 is a wasteful number, since it uses less digits than its factorization.

10011120412125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25804 (or 25794 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 21.

Adding to 10011120412125 its reverse (52121402111001), we get a palindrome (62132522523126).

The spelling of 10011120412125 in words is "ten trillion, eleven billion, one hundred twenty million, four hundred twelve thousand, one hundred twenty-five".