1010102022133 has 2 divisors, whose sum is σ = 1010102022134. Its totient is φ = 1010102022132.

The previous prime is 1010102022121. The next prime is 1010102022179. The reversal of 1010102022133 is 3312202010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 765094841809 + 245007180324 = 874697^2 + 494982^2 .

It is an emirp because it is prime and its reverse (3312202010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010102022133 - 2⁵ = 1010102022101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010102022113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505051011066 + 505051011067.

It is an arithmetic number, because the mean of its divisors is an integer number (505051011067).

Almost surely, 2^{1010102022133} is an apocalyptic number.

It is an amenable number.

1010102022133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010102022133 is an equidigital number, since it uses as much as digits as its factorization.

1010102022133 is an evil number, because the sum of its binary digits is even.

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

Adding to 1010102022133 its reverse (3312202010101), we get a palindrome (4322304032234).

The spelling of 1010102022133 in words is "one trillion, ten billion, one hundred two million, twenty-two thousand, one hundred thirty-three".