100112220100229 has 2 divisors, whose sum is σ = 100112220100230. Its totient is φ = 100112220100228.

The previous prime is 100112220100199. The next prime is 100112220100237. The reversal of 100112220100229 is 922001022211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84875868096100 + 15236352004129 = 9212810^2 + 3903377^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100112220100229 is a prime.

It is a super-2 number, since 2×100112220100229² (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 (100112220100259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056110050114 + 50056110050115.

It is an arithmetic number, because the mean of its divisors is an integer number (50056110050115).

Almost surely, 2^{100112220100229} is an apocalyptic number.

It is an amenable number.

100112220100229 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112220100229 is an equidigital number, since it uses as much as digits as its factorization.

100112220100229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 100112220100229 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty million, one hundred thousand, two hundred twenty-nine".