100021220442181 has 2 divisors, whose sum is σ = 100021220442182. Its totient is φ = 100021220442180.

The previous prime is 100021220442089. The next prime is 100021220442197. The reversal of 100021220442181 is 181244022120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75444077081025 + 24577143361156 = 8685855^2 + 4957534^2 .

It is an emirp because it is prime and its reverse (181244022120001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100021220442181 - 2¹⁵ = 100021220409413 is a prime.

It is a super-2 number, since 2×100021220442181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100021220482181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010610221090 + 50010610221091.

It is an arithmetic number, because the mean of its divisors is an integer number (50010610221091).

Almost surely, 2^{100021220442181} is an apocalyptic number.

It is an amenable number.

100021220442181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021220442181 is an equidigital number, since it uses as much as digits as its factorization.

100021220442181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2048, while the sum is 28.

Adding to 100021220442181 its reverse (181244022120001), we get a palindrome (281265242562182).

The spelling of 100021220442181 in words is "one hundred trillion, twenty-one billion, two hundred twenty million, four hundred forty-two thousand, one hundred eighty-one".