2138127100 has 72 divisors (see below), whose sum is σ = 4752820800. Its totient is φ = 834662400.

The previous prime is 2138127097. The next prime is 2138127119. The reversal of 2138127100 is 17218312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 701580 + ... + 704620.

It is an arithmetic number, because the mean of its divisors is an integer number (66011400).

Almost surely, 2^2138127100 is an apocalyptic number.

2138127100 is a gapful number since it is divisible by the number (20) 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 2138127100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376410400).

2138127100 is an abundant number, since it is smaller than the sum of its proper divisors (2614693700).

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

2138127100 is a wasteful number, since it uses less digits than its factorization.

2138127100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 2138127100 is about 46239.8864617983. The cubic root of 2138127100 is about 1288.2826937262.

The spelling of 2138127100 in words is "two billion, one hundred thirty-eight million, one hundred twenty-seven thousand, one hundred".