20100122233133 has 2 divisors, whose sum is σ = 20100122233134. Its totient is φ = 20100122233132.

The previous prime is 20100122233073. The next prime is 20100122233181. The reversal of 20100122233133 is 33133222100102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15949376106889 + 4150746126244 = 3993667^2 + 2037338^2 .

It is a cyclic number.

It is not a de Polignac number, because 20100122233133 - 2¹⁶ = 20100122167597 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20100122233099 and 20100122233108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20100122239133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050061116566 + 10050061116567.

It is an arithmetic number, because the mean of its divisors is an integer number (10050061116567).

Almost surely, 2^{20100122233133} is an apocalyptic number.

It is an amenable number.

20100122233133 is a deficient number, since it is larger than the sum of its proper divisors (1).

20100122233133 is an equidigital number, since it uses as much as digits as its factorization.

20100122233133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 20100122233133 its reverse (33133222100102), we get a palindrome (53233344333235).

The spelling of 20100122233133 in words is "twenty trillion, one hundred billion, one hundred twenty-two million, two hundred thirty-three thousand, one hundred thirty-three".