102133121220112 has 320 divisors, whose sum is σ = 214376153333760. Its totient is φ = 47051056281600.

The previous prime is 102133121220107. The next prime is 102133121220131. The reversal of 102133121220112 is 211022121331201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51608448339 + ... + 51608450317.

It is an arithmetic number, because the mean of its divisors is an integer number (669925479168).

Almost surely, 2^{102133121220112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102133121220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107188076666880).

102133121220112 is an abundant number, since it is smaller than the sum of its proper divisors (112243032113648).

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

102133121220112 is a wasteful number, since it uses less digits than its factorization.

102133121220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 102133121220112 its reverse (211022121331201), we get a palindrome (313155242551313).

The spelling of 102133121220112 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twelve".