10002102102233 has 2 divisors, whose sum is σ = 10002102102234. Its totient is φ = 10002102102232.

The previous prime is 10002102102211. The next prime is 10002102102263. The reversal of 10002102102233 is 33220120120001.

10002102102233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9515417275849 + 486684826384 = 3084707^2 + 697628^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002102102233 - 2¹² = 10002102098137 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002102102263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001051051116 + 5001051051117.

It is an arithmetic number, because the mean of its divisors is an integer number (5001051051117).

Almost surely, 2^{10002102102233} is an apocalyptic number.

It is an amenable number.

10002102102233 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002102102233 is an equidigital number, since it uses as much as digits as its factorization.

10002102102233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10002102102233 its reverse (33220120120001), we get a palindrome (43222222222234).

The spelling of 10002102102233 in words is "ten trillion, two billion, one hundred two million, one hundred two thousand, two hundred thirty-three".