102121011022033 has 2 divisors, whose sum is σ = 102121011022034. Its totient is φ = 102121011022032.

The previous prime is 102121011021983. The next prime is 102121011022103. The reversal of 102121011022033 is 330220110121201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56979369147024 + 45141641875009 = 7548468^2 + 6718753^2 .

It is a cyclic number.

It is not a de Polignac number, because 102121011022033 - 2¹³ = 102121011013841 is a prime.

It is a super-2 number, since 2×102121011022033² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102121011022033.

It is not a weakly prime, because it can be changed into another prime (102121011023033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060505511016 + 51060505511017.

It is an arithmetic number, because the mean of its divisors is an integer number (51060505511017).

Almost surely, 2^{102121011022033} is an apocalyptic number.

It is an amenable number.

102121011022033 is a deficient number, since it is larger than the sum of its proper divisors (1).

102121011022033 is an equidigital number, since it uses as much as digits as its factorization.

102121011022033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 102121011022033 its reverse (330220110121201), we get a palindrome (432341121143234).

The spelling of 102121011022033 in words is "one hundred two trillion, one hundred twenty-one billion, eleven million, twenty-two thousand, thirty-three".