211101112222120 has 32 divisors (see below), whose sum is σ = 481667326485120. Its totient is φ = 83251142847040.

The previous prime is 211101112222087. The next prime is 211101112222139. The reversal of 211101112222120 is 21222211101112.

It is a happy number.

It is a super-2 number, since 2×211101112222120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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, 37165685932 + ... + 37165691611.

It is an arithmetic number, because the mean of its divisors is an integer number (15052103952660).

Almost surely, 2^{211101112222120} is an apocalyptic number.

211101112222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211101112222120 is an abundant number, since it is smaller than the sum of its proper divisors (270566214263000).

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

211101112222120 is a wasteful number, since it uses less digits than its factorization.

211101112222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74331377625 (or 74331377621 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 211101112222120 its reverse (21222211101112), we get a palindrome (232323323323232).

The spelling of 211101112222120 in words is "two hundred eleven trillion, one hundred one billion, one hundred twelve million, two hundred twenty-two thousand, one hundred twenty".