102133302210 has 96 divisors (see below), whose sum is σ = 267817605120. Its totient is φ = 27002916864.

The previous prime is 102133302197. The next prime is 102133302217. The reversal of 102133302210 is 12203331201.

102133302210 is a `hidden beast` number, since 102 + 13 + 330 + 221 + 0 = 666.

It is a super-2 number, since 2×102133302210² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102133302217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30733609 + ... + 30736931.

It is an arithmetic number, because the mean of its divisors is an integer number (2789766720).

Almost surely, 2^102133302210 is an apocalyptic number.

102133302210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102133302210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133908802560).

102133302210 is an abundant number, since it is smaller than the sum of its proper divisors (165684302910).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102133302210 is a wasteful number, since it uses less digits than its factorization.

102133302210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6152 (or 6149 counting only the distinct ones).

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

Adding to 102133302210 its reverse (12203331201), we get a palindrome (114336633411).

The spelling of 102133302210 in words is "one hundred two billion, one hundred thirty-three million, three hundred two thousand, two hundred ten".