21201211102001 has 16 divisors (see below), whose sum is σ = 24414013827840. Its totient is φ = 18034933279680.

The previous prime is 21201211101947. The next prime is 21201211102003. The reversal of 21201211102001 is 10020111210212.

It is a cyclic number.

It is not a de Polignac number, because 21201211102001 - 2¹⁴ = 21201211085617 is a prime.

It is a super-2 number, since 2×21201211102001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21201211102003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20765066 + ... + 21762131.

It is an arithmetic number, because the mean of its divisors is an integer number (1525875864240).

Almost surely, 2^{21201211102001} is an apocalyptic number.

It is an amenable number.

21201211102001 is a deficient number, since it is larger than the sum of its proper divisors (3212802725839).

21201211102001 is a wasteful number, since it uses less digits than its factorization.

21201211102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42527744.

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

Adding to 21201211102001 its reverse (10020111210212), we get a palindrome (31221322312213).

The spelling of 21201211102001 in words is "twenty-one trillion, two hundred one billion, two hundred eleven million, one hundred two thousand, one".