127415113100 has 72 divisors (see below), whose sum is σ = 301912843008. Its totient is φ = 46288756800.

The previous prime is 127415113027. The next prime is 127415113129. The reversal of 127415113100 is 1311514721.

It is a super-2 number, since 2×127415113100² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127415113100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1114817 + ... + 1223783.

Almost surely, 2^127415113100 is an apocalyptic number.

127415113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127415113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150956421504).

127415113100 is an abundant number, since it is smaller than the sum of its proper divisors (174497729908).

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

127415113100 is a wasteful number, since it uses less digits than its factorization.

127415113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110055 (or 110048 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 26.

Adding to 127415113100 its reverse (1311514721), we get a palindrome (128726627821).

The spelling of 127415113100 in words is "one hundred twenty-seven billion, four hundred fifteen million, one hundred thirteen thousand, one hundred".