101330221233312 has 36 divisors (see below), whose sum is σ = 288157816633050. Its totient is φ = 33776740411008.

The previous prime is 101330221233259. The next prime is 101330221233331. The reversal of 101330221233312 is 213332122033101.

101330221233312 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 302 + 2 + 1 + 23 + 331 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93706194598416 + 7624026634896 = 9680196^2 + 2761164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 175920522687 + ... + 175920523262.

Almost surely, 2^{101330221233312} is an apocalyptic number.

101330221233312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101330221233312 is an abundant number, since it is smaller than the sum of its proper divisors (186827595399738).

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

101330221233312 is a wasteful number, since it uses less digits than its factorization.

101330221233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351841045965 (or 351841045954 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 101330221233312 its reverse (213332122033101), we get a palindrome (314662343266413).

The spelling of 101330221233312 in words is "one hundred one trillion, three hundred thirty billion, two hundred twenty-one million, two hundred thirty-three thousand, three hundred twelve".