21122111100133 has 2 divisors, whose sum is σ = 21122111100134. Its totient is φ = 21122111100132.

The previous prime is 21122111100091. The next prime is 21122111100143. The reversal of 21122111100133 is 33100111122112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18778156224129 + 2343954876004 = 4333377^2 + 1530998^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122111100133 - 2⁴¹ = 18923087844581 is a prime.

It is a super-2 number, since 2×21122111100133² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21122111100133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21122111100143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561055550066 + 10561055550067.

It is an arithmetic number, because the mean of its divisors is an integer number (10561055550067).

Almost surely, 2^{21122111100133} is an apocalyptic number.

It is an amenable number.

21122111100133 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122111100133 is an equidigital number, since it uses as much as digits as its factorization.

21122111100133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 21122111100133 its reverse (33100111122112), we get a palindrome (54222222222245).

The spelling of 21122111100133 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred eleven million, one hundred thousand, one hundred thirty-three".