101332223122212 has 144 divisors (see below), whose sum is σ = 260213561112960. Its totient is φ = 33242677977600.

The previous prime is 101332223122183. The next prime is 101332223122237. The reversal of 101332223122212 is 212221322233101.

101332223122212 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 322 + 2 + 3 + 122 + 212 = 666.

101332223122212 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3566891464 + ... + 3566919872.

It is an arithmetic number, because the mean of its divisors is an integer number (1807038618840).

Almost surely, 2^{101332223122212} is an apocalyptic number.

101332223122212 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 101332223122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130106780556480).

101332223122212 is an abundant number, since it is smaller than the sum of its proper divisors (158881337990748).

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

101332223122212 is a wasteful number, since it uses less digits than its factorization.

101332223122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30914 (or 30909 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 101332223122212 its reverse (212221322233101), we get a palindrome (313553545355313).

The spelling of 101332223122212 in words is "one hundred one trillion, three hundred thirty-two billion, two hundred twenty-three million, one hundred twenty-two thousand, two hundred twelve".