10102213222133 has 2 divisors, whose sum is σ = 10102213222134. Its totient is φ = 10102213222132.

The previous prime is 10102213222097. The next prime is 10102213222229. The reversal of 10102213222133 is 33122231220101.

10102213222133 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., 9985644240049 + 116568982084 = 3160007^2 + 341422^2 .

It is an emirp because it is prime and its reverse (33122231220101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10102213222133 - 2⁶ = 10102213222069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102213222099 and 10102213222108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102213222033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051106611066 + 5051106611067.

It is an arithmetic number, because the mean of its divisors is an integer number (5051106611067).

Almost surely, 2^{10102213222133} is an apocalyptic number.

It is an amenable number.

10102213222133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102213222133 is an equidigital number, since it uses as much as digits as its factorization.

10102213222133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10102213222133 its reverse (33122231220101), we get a palindrome (43224444442234).

The spelling of 10102213222133 in words is "ten trillion, one hundred two billion, two hundred thirteen million, two hundred twenty-two thousand, one hundred thirty-three".