102133203222312 has 256 divisors, whose sum is σ = 299133139968000. Its totient is φ = 32224241263104.

The previous prime is 102133203222293. The next prime is 102133203222409. The reversal of 102133203222312 is 213222302331201.

102133203222312 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 3 + 20 + 322 + 2 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 699426364 + ... + 699572372.

It is an arithmetic number, because the mean of its divisors is an integer number (1168488828000).

Almost surely, 2^{102133203222312} is an apocalyptic number.

102133203222312 is a gapful number since it is divisible by the number (12) 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 102133203222312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149566569984000).

102133203222312 is an abundant number, since it is smaller than the sum of its proper divisors (196999936745688).

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

102133203222312 is a wasteful number, since it uses less digits than its factorization.

102133203222312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147517 (or 147507 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 102133203222312 its reverse (213222302331201), we get a palindrome (315355505553513).

The spelling of 102133203222312 in words is "one hundred two trillion, one hundred thirty-three billion, two hundred three million, two hundred twenty-two thousand, three hundred twelve".