21220212112101 has 96 divisors (see below), whose sum is σ = 32052788951040. Its totient is φ = 13515619824000.

The previous prime is 21220212112009. The next prime is 21220212112109. The reversal of 21220212112101 is 10121121202212.

21220212112101 is a `hidden beast` number, since 2 + 1 + 220 + 21 + 211 + 210 + 1 = 666.

It is not a de Polignac number, because 21220212112101 - 2¹⁴ = 21220212095717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220212112109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12315850626 + ... + 12315852348.

It is an arithmetic number, because the mean of its divisors is an integer number (333883218240).

Almost surely, 2^{21220212112101} is an apocalyptic number.

It is an amenable number.

21220212112101 is a deficient number, since it is larger than the sum of its proper divisors (10832576838939).

21220212112101 is a wasteful number, since it uses less digits than its factorization.

21220212112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647 (or 3644 counting only the distinct ones).

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

Adding to 21220212112101 its reverse (10121121202212), we get a palindrome (31341333314313).

The spelling of 21220212112101 in words is "twenty-one trillion, two hundred twenty billion, two hundred twelve million, one hundred twelve thousand, one hundred one".