100220112202241 has 2 divisors, whose sum is σ = 100220112202242. Its totient is φ = 100220112202240.

The previous prime is 100220112202193. The next prime is 100220112202349. The reversal of 100220112202241 is 142202211022001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97451645497600 + 2768466704641 = 9871760^2 + 1663871^2 .

It is a cyclic number.

It is not a de Polignac number, because 100220112202241 - 2³⁴ = 100202932333057 is a prime.

It is not a weakly prime, because it can be changed into another prime (100220115202241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110056101120 + 50110056101121.

It is an arithmetic number, because the mean of its divisors is an integer number (50110056101121).

Almost surely, 2^{100220112202241} is an apocalyptic number.

It is an amenable number.

100220112202241 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220112202241 is an equidigital number, since it uses as much as digits as its factorization.

100220112202241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 100220112202241 its reverse (142202211022001), we get a palindrome (242422323224242).

The spelling of 100220112202241 in words is "one hundred trillion, two hundred twenty billion, one hundred twelve million, two hundred two thousand, two hundred forty-one".