101022033312 has 72 divisors (see below), whose sum is σ = 294288305220. Its totient is φ = 32852689920.

The previous prime is 101022033311. The next prime is 101022033319. The reversal of 101022033312 is 213330220101.

101022033312 is a `hidden beast` number, since 101 + 0 + 220 + 33 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83935360656 + 17086672656 = 289716^2 + 130716^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101022033311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4265887 + ... + 4289502.

Almost surely, 2^101022033312 is an apocalyptic number.

101022033312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101022033312 is an abundant number, since it is smaller than the sum of its proper divisors (193266271908).

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

101022033312 is a wasteful number, since it uses less digits than its factorization.

101022033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8555446 (or 8555435 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101022033312 its reverse (213330220101), we get a palindrome (314352253413).

The spelling of 101022033312 in words is "one hundred one billion, twenty-two million, thirty-three thousand, three hundred twelve".