102012022133312 has 112 divisors (see below), whose sum is σ = 214025096033280. Its totient is φ = 48147302810112.

The previous prime is 102012022133267. The next prime is 102012022133347. The reversal of 102012022133312 is 213331220210201.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32676803 + ... + 35662269.

It is an arithmetic number, because the mean of its divisors is an integer number (1910938357440).

Almost surely, 2^{102012022133312} 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 102012022133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107012548016640).

102012022133312 is an abundant number, since it is smaller than the sum of its proper divisors (112013073899968).

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

102012022133312 is a wasteful number, since it uses less digits than its factorization.

102012022133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985808 (or 2985798 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 102012022133312 its reverse (213331220210201), we get a palindrome (315343242343513).

The spelling of 102012022133312 in words is "one hundred two trillion, twelve billion, twenty-two million, one hundred thirty-three thousand, three hundred twelve".