2137174021000 has 128 divisors (see below), whose sum is σ = 5026603345920. Its totient is φ = 850500000000.

The previous prime is 2137174020959. The next prime is 2137174021033. The reversal of 2137174021000 is 1204717312.

It is a self number, because there is not a number n which added to its sum of digits gives 2137174021000.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 203515750 + ... + 203526250.

It is an arithmetic number, because the mean of its divisors is an integer number (39270338640).

Almost surely, 2^{2137174021000} is an apocalyptic number.

2137174021000 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 2137174021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513301672960).

2137174021000 is an abundant number, since it is smaller than the sum of its proper divisors (2889429324920).

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

2137174021000 is a wasteful number, since it uses less digits than its factorization.

2137174021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11544 (or 11530 counting only the distinct ones).

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

Adding to 2137174021000 its reverse (1204717312), we get a palindrome (2138378738312).

The spelling of 2137174021000 in words is "two trillion, one hundred thirty-seven billion, one hundred seventy-four million, twenty-one thousand".