101001121100233 has 2 divisors, whose sum is σ = 101001121100234. Its totient is φ = 101001121100232.

The previous prime is 101001121100207. The next prime is 101001121100239. The reversal of 101001121100233 is 332001121100101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100135305738169 + 865815362064 = 10006763^2 + 930492^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001121100233 - 2³⁷ = 100863682146761 is a prime.

It is not a weakly prime, because it can be changed into another prime (101001121100239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500560550116 + 50500560550117.

It is an arithmetic number, because the mean of its divisors is an integer number (50500560550117).

Almost surely, 2^{101001121100233} is an apocalyptic number.

It is an amenable number.

101001121100233 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001121100233 is an equidigital number, since it uses as much as digits as its factorization.

101001121100233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101001121100233 its reverse (332001121100101), we get a palindrome (433002242200334).

The spelling of 101001121100233 in words is "one hundred one trillion, one billion, one hundred twenty-one million, one hundred thousand, two hundred thirty-three".