2190133608100 has 81 divisors (see below), whose sum is σ = 5016535364547. Its totient is φ = 829838813760.

The previous prime is 2190133607999. The next prime is 2190133608107. The reversal of 2190133608100 is 18063310912.

The square root of 2190133608100 is 1479910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5507717796 + 2184625890304 = 74214^2 + 1478048^2 .

It is a super-2 number, since 2×2190133608100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2190133608107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 281179006 + ... + 281186794.

Almost surely, 2^{2190133608100} is an apocalyptic number.

2190133608100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2190133608100 is the 1479910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2190133608100

2190133608100 is an abundant number, since it is smaller than the sum of its proper divisors (2826401756447).

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

2190133608100 is an frugal number, since it uses more digits than its factorization.

2190133608100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15630 (or 7815 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 2190133608100 in words is "two trillion, one hundred ninety billion, one hundred thirty-three million, six hundred eight thousand, one hundred".