100221202212029 has 2 divisors, whose sum is σ = 100221202212030. Its totient is φ = 100221202212028.

The previous prime is 100221202212011. The next prime is 100221202212041. The reversal of 100221202212029 is 920212202122001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99995100060025 + 226102152004 = 9999755^2 + 475502^2 .

It is an emirp because it is prime and its reverse (920212202122001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100221202212029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100221202211989 and 100221202212007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221202212049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110601106014 + 50110601106015.

It is an arithmetic number, because the mean of its divisors is an integer number (50110601106015).

Almost surely, 2^{100221202212029} is an apocalyptic number.

It is an amenable number.

100221202212029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221202212029 is an equidigital number, since it uses as much as digits as its factorization.

100221202212029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 100221202212029 in words is "one hundred trillion, two hundred twenty-one billion, two hundred two million, two hundred twelve thousand, twenty-nine".