100220201200181 has 2 divisors, whose sum is σ = 100220201200182. Its totient is φ = 100220201200180.

The previous prime is 100220201199983. The next prime is 100220201200243. The reversal of 100220201200181 is 181002102022001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61404996065956 + 38815205134225 = 7836134^2 + 6230185^2 .

It is a cyclic number.

It is not a de Polignac number, because 100220201200181 - 2¹⁴ = 100220201183797 is a prime.

It is a super-2 number, since 2×100220201200181² (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 (100220201205181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110100600090 + 50110100600091.

It is an arithmetic number, because the mean of its divisors is an integer number (50110100600091).

Almost surely, 2^{100220201200181} is an apocalyptic number.

It is an amenable number.

100220201200181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220201200181 is an equidigital number, since it uses as much as digits as its factorization.

100220201200181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 100220201200181 its reverse (181002102022001), we get a palindrome (281222303222182).

The spelling of 100220201200181 in words is "one hundred trillion, two hundred twenty billion, two hundred one million, two hundred thousand, one hundred eighty-one".