2181263148100 has 81 divisors (see below), whose sum is σ = 4779256354327. Its totient is φ = 864122318080.

The previous prime is 2181263148061. The next prime is 2181263148107. The reversal of 2181263148100 is 18413621812.

The square root of 2181263148100 is 1476910.

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 1109740047364 + 1071523100736 = 1053442^2 + 1035144^2 .

It is a super-2 number, since 2×2181263148100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2181263148100.

It is not an unprimeable number, because it can be changed into a prime (2181263148107) 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, 1668907647 + ... + 1668908953.

Almost surely, 2^{2181263148100} is an apocalyptic number.

2181263148100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2181263148100 is the 1476910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2181263148100

2181263148100 is an abundant number, since it is smaller than the sum of its proper divisors (2597993206227).

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

2181263148100 is an equidigital number, since it uses as much as digits as its factorization.

2181263148100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

Adding to 2181263148100 its reverse (18413621812), we get a palindrome (2199676769912).

The spelling of 2181263148100 in words is "two trillion, one hundred eighty-one billion, two hundred sixty-three million, one hundred forty-eight thousand, one hundred".