21112012221201 has 64 divisors (see below), whose sum is σ = 34254903767040. Its totient is φ = 12744742504320.

The previous prime is 21112012221199. The next prime is 21112012221203. The reversal of 21112012221201 is 10212221021112.

21112012221201 is a `hidden beast` number, since 211 + 1 + 20 + 12 + 221 + 201 = 666.

It is an interprime number because it is at equal distance from previous prime (21112012221199) and next prime (21112012221203).

It is not a de Polignac number, because 21112012221201 - 2¹ = 21112012221199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21112012221203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 762896301 + ... + 762923973.

It is an arithmetic number, because the mean of its divisors is an integer number (535232871360).

Almost surely, 2^{21112012221201} is an apocalyptic number.

It is an amenable number.

21112012221201 is a deficient number, since it is larger than the sum of its proper divisors (13142891545839).

21112012221201 is a wasteful number, since it uses less digits than its factorization.

21112012221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37723 (or 37717 counting only the distinct ones).

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

Adding to 21112012221201 its reverse (10212221021112), we get a palindrome (31324233242313).

The spelling of 21112012221201 in words is "twenty-one trillion, one hundred twelve billion, twelve million, two hundred twenty-one thousand, two hundred one".