33201131100121 has 2 divisors, whose sum is σ = 33201131100122. Its totient is φ = 33201131100120.

The previous prime is 33201131100091. The next prime is 33201131100131. The reversal of 33201131100121 is 12100113110233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27437314468096 + 5763816632025 = 5238064^2 + 2400795^2 .

It is a cyclic number.

It is not a de Polignac number, because 33201131100121 - 2⁷ = 33201131099993 is a prime.

It is a super-2 number, since 2×33201131100121² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33201131100131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16600565550060 + 16600565550061.

It is an arithmetic number, because the mean of its divisors is an integer number (16600565550061).

Almost surely, 2^{33201131100121} is an apocalyptic number.

It is an amenable number.

33201131100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

33201131100121 is an equidigital number, since it uses as much as digits as its factorization.

33201131100121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 33201131100121 its reverse (12100113110233), we get a palindrome (45301244210354).

The spelling of 33201131100121 in words is "thirty-three trillion, two hundred one billion, one hundred thirty-one million, one hundred thousand, one hundred twenty-one".