106101121333 has 2 divisors, whose sum is σ = 106101121334. Its totient is φ = 106101121332.

The previous prime is 106101121283. The next prime is 106101121339. The reversal of 106101121333 is 333121101601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105158815524 + 942305809 = 324282^2 + 30697^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106101121333 is a prime.

It is a super-2 number, since 2×106101121333² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106101121339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53050560666 + 53050560667.

It is an arithmetic number, because the mean of its divisors is an integer number (53050560667).

Almost surely, 2^106101121333 is an apocalyptic number.

It is an amenable number.

106101121333 is a deficient number, since it is larger than the sum of its proper divisors (1).

106101121333 is an equidigital number, since it uses as much as digits as its factorization.

106101121333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 106101121333 its reverse (333121101601), we get a palindrome (439222222934).

The spelling of 106101121333 in words is "one hundred six billion, one hundred one million, one hundred twenty-one thousand, three hundred thirty-three".