101000100012233 has 2 divisors, whose sum is σ = 101000100012234. Its totient is φ = 101000100012232.

The previous prime is 101000100012197. The next prime is 101000100012241. The reversal of 101000100012233 is 332210001000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60722697795529 + 40277402216704 = 7792477^2 + 6346448^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000100012233 - 2²⁶ = 101000032903369 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000100012283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500050006116 + 50500050006117.

It is an arithmetic number, because the mean of its divisors is an integer number (50500050006117).

Almost surely, 2^{101000100012233} is an apocalyptic number.

It is an amenable number.

101000100012233 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000100012233 is an equidigital number, since it uses as much as digits as its factorization.

101000100012233 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 14.

Adding to 101000100012233 its reverse (332210001000101), we get a palindrome (433210101012334).

The spelling of 101000100012233 in words is "one hundred one trillion, one hundred million, twelve thousand, two hundred thirty-three".