211221210112101 has 48 divisors (see below), whose sum is σ = 361814912729088. Its totient is φ = 116192814487200.

The previous prime is 211221210112091. The next prime is 211221210112117. The reversal of 211221210112101 is 101211012122112.

It is a happy number.

211221210112101 is a `hidden beast` number, since 2 + 11 + 221 + 210 + 11 + 210 + 1 = 666.

It is not a de Polignac number, because 211221210112101 - 2⁹ = 211221210111589 is a prime.

It is a super-2 number, since 2×211221210112101² (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 (211221210012101) 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, 282747871 + ... + 283493916.

It is an arithmetic number, because the mean of its divisors is an integer number (7537810681856).

Almost surely, 2^{211221210112101} is an apocalyptic number.

211221210112101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211221210112101 is a deficient number, since it is larger than the sum of its proper divisors (150593702616987).

211221210112101 is a wasteful number, since it uses less digits than its factorization.

211221210112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566242022 (or 566242019 counting only the distinct ones).

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

Adding to 211221210112101 its reverse (101211012122112), we get a palindrome (312432222234213).

The spelling of 211221210112101 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred ten million, one hundred twelve thousand, one hundred one".