212112221110101 has 64 divisors (see below), whose sum is σ = 342609126612480. Its totient is φ = 130523536728000.

The previous prime is 212112221110063. The next prime is 212112221110129. The reversal of 212112221110101 is 101011122211212.

It is a happy number.

212112221110101 is a `hidden beast` number, since 21 + 211 + 2 + 221 + 110 + 101 = 666.

It is not a de Polignac number, because 212112221110101 - 2³⁴ = 212095041240917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112221110151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 551966376 + ... + 552350526.

It is an arithmetic number, because the mean of its divisors is an integer number (5353267603320).

Almost surely, 2^{212112221110101} is an apocalyptic number.

It is an amenable number.

212112221110101 is a deficient number, since it is larger than the sum of its proper divisors (130496905502379).

212112221110101 is an equidigital number, since it uses as much as digits as its factorization.

212112221110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403606 (or 403588 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212112221110101 its reverse (101011122211212), we get a palindrome (313123343321313).

The spelling of 212112221110101 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred twenty-one million, one hundred ten thousand, one hundred one".