102133220134220 has 96 divisors (see below), whose sum is σ = 236517428347200. Its totient is φ = 36737390592000.

The previous prime is 102133220134207. The next prime is 102133220134223. The reversal of 102133220134220 is 22431022331201.

It is a self number, because there is not a number n which added to its sum of digits gives 102133220134220.

It is not an unprimeable number, because it can be changed into a prime (102133220134223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10868636 + ... + 17955324.

It is an arithmetic number, because the mean of its divisors is an integer number (2463723211950).

Almost surely, 2^{102133220134220} is an apocalyptic number.

102133220134220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102133220134220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118258714173600).

102133220134220 is an abundant number, since it is smaller than the sum of its proper divisors (134384208212980).

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

102133220134220 is a wasteful number, since it uses less digits than its factorization.

102133220134220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7087419 (or 7087417 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 102133220134220 its reverse (22431022331201), we get a palindrome (124564242465421).

The spelling of 102133220134220 in words is "one hundred two trillion, one hundred thirty-three billion, two hundred twenty million, one hundred thirty-four thousand, two hundred twenty".