10002121133 has 2 divisors, whose sum is σ = 10002121134. Its totient is φ = 10002121132.

The previous prime is 10002121127. The next prime is 10002121153. The reversal of 10002121133 is 33112120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9817242724 + 184878409 = 99082^2 + 13597^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002121133 - 2²⁴ = 9985343917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002121123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001060566 + 5001060567.

It is an arithmetic number, because the mean of its divisors is an integer number (5001060567).

Almost surely, 2^10002121133 is an apocalyptic number.

It is an amenable number.

10002121133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002121133 is an equidigital number, since it uses as much as digits as its factorization.

10002121133 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 10002121133 its reverse (33112120001), we get a palindrome (43114241134).

The spelling of 10002121133 in words is "ten billion, two million, one hundred twenty-one thousand, one hundred thirty-three".