21122121110149 has 2 divisors, whose sum is σ = 21122121110150. Its totient is φ = 21122121110148.

The previous prime is 21122121110143. The next prime is 21122121110201. The reversal of 21122121110149 is 94101112122112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14975777721025 + 6146343389124 = 3869855^2 + 2479182^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122121110149 - 2⁷ = 21122121110021 is a prime.

It is a super-2 number, since 2×21122121110149² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21122121110143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561060555074 + 10561060555075.

It is an arithmetic number, because the mean of its divisors is an integer number (10561060555075).

Almost surely, 2^{21122121110149} is an apocalyptic number.

It is an amenable number.

21122121110149 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122121110149 is an equidigital number, since it uses as much as digits as its factorization.

21122121110149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 28.

The spelling of 21122121110149 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred ten thousand, one hundred forty-nine".