10100121133 has 2 divisors, whose sum is σ = 10100121134. Its totient is φ = 10100121132.

The previous prime is 10100121121. The next prime is 10100121167. The reversal of 10100121133 is 33112100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5788622889 + 4311498244 = 76083^2 + 65662^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100121133 - 2¹³ = 10100112941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100121173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050060566 + 5050060567.

It is an arithmetic number, because the mean of its divisors is an integer number (5050060567).

Almost surely, 2^10100121133 is an apocalyptic number.

It is an amenable number.

10100121133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100121133 is an equidigital number, since it uses as much as digits as its factorization.

10100121133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10100121133 its reverse (33112100101), we get a palindrome (43212221234).

The spelling of 10100121133 in words is "ten billion, one hundred million, one hundred twenty-one thousand, one hundred thirty-three".