102101133 has 16 divisors (see below), whose sum is σ = 145635840. Its totient is φ = 63399936.

The previous prime is 102101113. The next prime is 102101143. The reversal of 102101133 is 331101201.

It is a de Polignac number, because none of the positive numbers 2^k-102101133 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5373 + ... + 15266.

It is an arithmetic number, because the mean of its divisors is an integer number (9102240).

Almost surely, 2^102101133 is an apocalyptic number.

It is an amenable number.

102101133 is a deficient number, since it is larger than the sum of its proper divisors (43534707).

102101133 is a wasteful number, since it uses less digits than its factorization.

102101133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20756.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 102101133 is about 10104.5105274823. The cubic root of 102101133 is about 467.3872422921.

Adding to 102101133 its reverse (331101201), we get a palindrome (433202334).

The spelling of 102101133 in words is "one hundred two million, one hundred one thousand, one hundred thirty-three".