2181399137100 has 1296 divisors, whose sum is σ = 8181026380800. Its totient is φ = 483646464000.

The previous prime is 2181399137023. The next prime is 2181399137101. The reversal of 2181399137100 is 17319931812.

It is a happy number.

2181399137100 is a `hidden beast` number, since 2 + 181 + 399 + 13 + 71 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2181399137101) 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 431 ways as a sum of consecutive naturals, for example, 4442767855 + ... + 4442768345.

Almost surely, 2^{2181399137100} is an apocalyptic number.

2181399137100 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 2181399137100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090513190400).

2181399137100 is an abundant number, since it is smaller than the sum of its proper divisors (5999627243700).

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

2181399137100 is a wasteful number, since it uses less digits than its factorization.

2181399137100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 2181399137100 in words is "two trillion, one hundred eighty-one billion, three hundred ninety-nine million, one hundred thirty-seven thousand, one hundred".