212201101000032 has 48 divisors (see below), whose sum is σ = 557028656114112. Its totient is φ = 70733603064960.

The previous prime is 212201100999989. The next prime is 212201101000033. The reversal of 212201101000032 is 230000101102212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×212201101000032³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212201100999975 and 212201101000020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201101000033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114715107 + ... + 116550237.

It is an arithmetic number, because the mean of its divisors is an integer number (11604763669044).

Almost surely, 2^{212201101000032} is an apocalyptic number.

It is an amenable number.

212201101000032 is an abundant number, since it is smaller than the sum of its proper divisors (344827555114080).

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

212201101000032 is a wasteful number, since it uses less digits than its factorization.

212201101000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039651 (or 3039643 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212201101000032 its reverse (230000101102212), we get a palindrome (442201202102244).

The spelling of 212201101000032 in words is "two hundred twelve trillion, two hundred one billion, one hundred one million, thirty-two", and thus it is an aban number.