102132210033 has 72 divisors (see below), whose sum is σ = 183439541376. Its totient is φ = 54462038400.

The previous prime is 102132210023. The next prime is 102132210041. The reversal of 102132210033 is 330012231201.

It is not a de Polignac number, because 102132210033 - 2⁴ = 102132210017 is a prime.

It is a super-2 number, since 2×102132210033² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102132209988 and 102132210015.

It is not an unprimeable number, because it can be changed into a prime (102132210023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 293068 + ... + 538658.

It is an arithmetic number, because the mean of its divisors is an integer number (2547771408).

Almost surely, 2^102132210033 is an apocalyptic number.

It is an amenable number.

102132210033 is a deficient number, since it is larger than the sum of its proper divisors (81307331343).

102132210033 is a wasteful number, since it uses less digits than its factorization.

102132210033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245675 (or 245665 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102132210033 its reverse (330012231201), we get a palindrome (432144441234).

The spelling of 102132210033 in words is "one hundred two billion, one hundred thirty-two million, two hundred ten thousand, thirty-three".