211222120012101 has 48 divisors (see below), whose sum is σ = 341876523812928. Its totient is φ = 124536775276800.

The previous prime is 211222120012091. The next prime is 211222120012157. The reversal of 211222120012101 is 101210021222112.

211222120012101 is a `hidden beast` number, since 21 + 12 + 221 + 200 + 1 + 210 + 1 = 666.

211222120012101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211222120012101 - 2¹⁵ = 211222119979333 is a prime.

It is a super-2 number, since 2×211222120012101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222120012171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23281206 + ... + 31055736.

It is an arithmetic number, because the mean of its divisors is an integer number (7122427579436).

Almost surely, 2^{211222120012101} is an apocalyptic number.

It is an amenable number.

211222120012101 is a deficient number, since it is larger than the sum of its proper divisors (130654403800827).

211222120012101 is a wasteful number, since it uses less digits than its factorization.

211222120012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7782002 (or 7781999 counting only the distinct ones).

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

Adding to 211222120012101 its reverse (101210021222112), we get a palindrome (312432141234213).

The spelling of 211222120012101 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred twenty million, twelve thousand, one hundred one".