101102133133 has 2 divisors, whose sum is σ = 101102133134. Its totient is φ = 101102133132.

The previous prime is 101102133113. The next prime is 101102133149. The reversal of 101102133133 is 331331201101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100995568804 + 106564329 = 317798^2 + 10323^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102133133 - 2¹⁷ = 101102002061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101102133133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101102133103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551066566 + 50551066567.

It is an arithmetic number, because the mean of its divisors is an integer number (50551066567).

Almost surely, 2^101102133133 is an apocalyptic number.

It is an amenable number.

101102133133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102133133 is an equidigital number, since it uses as much as digits as its factorization.

101102133133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 101102133133 its reverse (331331201101), we get a palindrome (432433334234).

The spelling of 101102133133 in words is "one hundred one billion, one hundred two million, one hundred thirty-three thousand, one hundred thirty-three".