100112222212201 has 2 divisors, whose sum is σ = 100112222212202. Its totient is φ = 100112222212200.

The previous prime is 100112222212181. The next prime is 100112222212231. The reversal of 100112222212201 is 102212222211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88217835229225 + 11894386982976 = 9392435^2 + 3448824^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112222212201 - 2¹¹ = 100112222210153 is a prime.

It is a super-2 number, since 2×100112222212201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100112222212231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056111106100 + 50056111106101.

It is an arithmetic number, because the mean of its divisors is an integer number (50056111106101).

Almost surely, 2^{100112222212201} is an apocalyptic number.

It is an amenable number.

100112222212201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112222212201 is an equidigital number, since it uses as much as digits as its factorization.

100112222212201 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 19.

Adding to 100112222212201 its reverse (102212222211001), we get a palindrome (202324444423202).

The spelling of 100112222212201 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-two million, two hundred twelve thousand, two hundred one".