101211012002033 has 2 divisors, whose sum is σ = 101211012002034. Its totient is φ = 101211012002032.

The previous prime is 101211012002003. The next prime is 101211012002041. The reversal of 101211012002033 is 330200210112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68087384274064 + 33123627727969 = 8251508^2 + 5755313^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211012002033 - 2⁶ = 101211012001969 is a prime.

It is a super-2 number, since 2×101211012002033² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101211012002003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605506001016 + 50605506001017.

It is an arithmetic number, because the mean of its divisors is an integer number (50605506001017).

Almost surely, 2^{101211012002033} is an apocalyptic number.

It is an amenable number.

101211012002033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211012002033 is an equidigital number, since it uses as much as digits as its factorization.

101211012002033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101211012002033 its reverse (330200210112101), we get a palindrome (431411222114134).

The spelling of 101211012002033 in words is "one hundred one trillion, two hundred eleven billion, twelve million, two thousand, thirty-three".