10100002020133 has 2 divisors, whose sum is σ = 10100002020134. Its totient is φ = 10100002020132.

The previous prime is 10100002020131. The next prime is 10100002020179. The reversal of 10100002020133 is 33102020000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5713352428644 + 4386649591489 = 2390262^2 + 2094433^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100002020133 - 2¹ = 10100002020131 is a prime.

Together with 10100002020131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100002020131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050001010066 + 5050001010067.

It is an arithmetic number, because the mean of its divisors is an integer number (5050001010067).

Almost surely, 2^{10100002020133} is an apocalyptic number.

It is an amenable number.

10100002020133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100002020133 is an equidigital number, since it uses as much as digits as its factorization.

10100002020133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10100002020133 its reverse (33102020000101), we get a palindrome (43202022020234).

The spelling of 10100002020133 in words is "ten trillion, one hundred billion, two million, twenty thousand, one hundred thirty-three".