21212201101001 has 32 divisors (see below), whose sum is σ = 24140765166336. Its totient is φ = 18527705856000.

The previous prime is 21212201100997. The next prime is 21212201101027. The reversal of 21212201101001 is 10010110221212.

It is a cyclic number.

It is not a de Polignac number, because 21212201101001 - 2² = 21212201100997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21212201101061) 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 31 ways as a sum of consecutive naturals, for example, 753635 + ... + 6556856.

It is an arithmetic number, because the mean of its divisors is an integer number (754398911448).

Almost surely, 2^{21212201101001} is an apocalyptic number.

It is an amenable number.

21212201101001 is a deficient number, since it is larger than the sum of its proper divisors (2928564065335).

21212201101001 is a wasteful number, since it uses less digits than its factorization.

21212201101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7310753.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21212201101001 its reverse (10010110221212), we get a palindrome (31222311322213).

The spelling of 21212201101001 in words is "twenty-one trillion, two hundred twelve billion, two hundred one million, one hundred one thousand, one".