102102010100033 has 2 divisors, whose sum is σ = 102102010100034. Its totient is φ = 102102010100032.

The previous prime is 102102010100011. The next prime is 102102010100039. The reversal of 102102010100033 is 330001010201201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97111111123009 + 4990898977024 = 9854497^2 + 2234032^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102010100033 - 2²⁴ = 102101993322817 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102102010099990 and 102102010100017.

It is not a weakly prime, because it can be changed into another prime (102102010100039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051005050016 + 51051005050017.

It is an arithmetic number, because the mean of its divisors is an integer number (51051005050017).

Almost surely, 2^{102102010100033} is an apocalyptic number.

It is an amenable number.

102102010100033 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102010100033 is an equidigital number, since it uses as much as digits as its factorization.

102102010100033 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 102102010100033 its reverse (330001010201201), we get a palindrome (432103020301234).

The spelling of 102102010100033 in words is "one hundred two trillion, one hundred two billion, ten million, one hundred thousand, thirty-three".