21112211110221 has 192 divisors, whose sum is σ = 39849940684800. Its totient is φ = 10923685920000.

The previous prime is 21112211110171. The next prime is 21112211110223. The reversal of 21112211110221 is 12201111221112.

It is a happy number.

21112211110221 is a `hidden beast` number, since 2 + 111 + 221 + 1 + 110 + 221 = 666.

It is not a de Polignac number, because 21112211110221 - 2¹³ = 21112211102029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21112211110194 and 21112211110203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112211110223) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4470082566 + ... + 4470087288.

It is an arithmetic number, because the mean of its divisors is an integer number (207551774400).

Almost surely, 2^{21112211110221} is an apocalyptic number.

21112211110221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21112211110221 is a deficient number, since it is larger than the sum of its proper divisors (18737729574579).

21112211110221 is a wasteful number, since it uses less digits than its factorization.

21112211110221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5917 (or 5904 counting only the distinct ones).

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

Adding to 21112211110221 its reverse (12201111221112), we get a palindrome (33313322331333).

The spelling of 21112211110221 in words is "twenty-one trillion, one hundred twelve billion, two hundred eleven million, one hundred ten thousand, two hundred twenty-one".