127071342100 has 72 divisors (see below), whose sum is σ = 279130634496. Its totient is φ = 50206800000.

The previous prime is 127071342091. The next prime is 127071342131. The reversal of 127071342100 is 1243170721.

It is a super-2 number, since 2×127071342100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 4338505 + ... + 4367695.

It is an arithmetic number, because the mean of its divisors is an integer number (3876814368).

Almost surely, 2^127071342100 is an apocalyptic number.

127071342100 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 127071342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139565317248).

127071342100 is an abundant number, since it is smaller than the sum of its proper divisors (152059292396).

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

127071342100 is a wasteful number, since it uses less digits than its factorization.

127071342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29737 (or 29730 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The spelling of 127071342100 in words is "one hundred twenty-seven billion, seventy-one million, three hundred forty-two thousand, one hundred".