101221102033 has 2 divisors, whose sum is σ = 101221102034. Its totient is φ = 101221102032.

The previous prime is 101221101997. The next prime is 101221102061. The reversal of 101221102033 is 330201122101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86275550529 + 14945551504 = 293727^2 + 122252^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101221102033 is a prime.

It is a super-2 number, since 2×101221102033² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101221101998 and 101221102016.

It is not a weakly prime, because it can be changed into another prime (101221103033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610551016 + 50610551017.

It is an arithmetic number, because the mean of its divisors is an integer number (50610551017).

Almost surely, 2^101221102033 is an apocalyptic number.

It is an amenable number.

101221102033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221102033 is an equidigital number, since it uses as much as digits as its factorization.

101221102033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101221102033 its reverse (330201122101), we get a palindrome (431422224134).

The spelling of 101221102033 in words is "one hundred one billion, two hundred twenty-one million, one hundred two thousand, thirty-three".