2101121212133 has 2 divisors, whose sum is σ = 2101121212134. Its totient is φ = 2101121212132.

The previous prime is 2101121212103. The next prime is 2101121212243. The reversal of 2101121212133 is 3312121211012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2078807425249 + 22313786884 = 1441807^2 + 149378^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101121212133 - 2⁸ = 2101121211877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101121212103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050560606066 + 1050560606067.

It is an arithmetic number, because the mean of its divisors is an integer number (1050560606067).

Almost surely, 2^{2101121212133} is an apocalyptic number.

It is an amenable number.

2101121212133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101121212133 is an equidigital number, since it uses as much as digits as its factorization.

2101121212133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 2101121212133 its reverse (3312121211012), we get a palindrome (5413242423145).

The spelling of 2101121212133 in words is "two trillion, one hundred one billion, one hundred twenty-one million, two hundred twelve thousand, one hundred thirty-three".