212010212221101 has 160 divisors (see below), whose sum is σ = 374797114813440. Its totient is φ = 116934236250624.

The previous prime is 212010212221091. The next prime is 212010212221109. The reversal of 212010212221101 is 101122212010212.

212010212221101 is a `hidden beast` number, since 2 + 120 + 10 + 212 + 221 + 101 = 666.

It is not a de Polignac number, because 212010212221101 - 2⁵ = 212010212221069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212010212221109) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 657444835 + ... + 657767231.

It is an arithmetic number, because the mean of its divisors is an integer number (2342481967584).

Almost surely, 2^{212010212221101} is an apocalyptic number.

212010212221101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212010212221101 is a deficient number, since it is larger than the sum of its proper divisors (162786902592339).

212010212221101 is a wasteful number, since it uses less digits than its factorization.

212010212221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322825 (or 322816 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212010212221101 its reverse (101122212010212), we get a palindrome (313132424231313).

The spelling of 212010212221101 in words is "two hundred twelve trillion, ten billion, two hundred twelve million, two hundred twenty-one thousand, one hundred one".