100122220021933 has 2 divisors, whose sum is σ = 100122220021934. Its totient is φ = 100122220021932.

The previous prime is 100122220021883. The next prime is 100122220021991. The reversal of 100122220021933 is 339120022221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55558344340009 + 44563875681924 = 7453747^2 + 6675618^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100122220021933 is a prime.

It is a super-2 number, since 2×100122220021933² (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 (100122220021433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061110010966 + 50061110010967.

It is an arithmetic number, because the mean of its divisors is an integer number (50061110010967).

Almost surely, 2^{100122220021933} is an apocalyptic number.

It is an amenable number.

100122220021933 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122220021933 is an equidigital number, since it uses as much as digits as its factorization.

100122220021933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 100122220021933 its reverse (339120022221001), we get a palindrome (439242242242934).

The spelling of 100122220021933 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twenty million, twenty-one thousand, nine hundred thirty-three".