21211101002201 has 16 divisors (see below), whose sum is σ = 23163971822208. Its totient is φ = 19262331494400.

The previous prime is 21211101002177. The next prime is 21211101002233. The reversal of 21211101002201 is 10220010111212.

It is a cyclic number.

It is not a de Polignac number, because 21211101002201 - 2¹⁰ = 21211101001177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21211101002501) 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 15 ways as a sum of consecutive naturals, for example, 147357401 + ... + 147501273.

It is an arithmetic number, because the mean of its divisors is an integer number (1447748238888).

Almost surely, 2^{21211101002201} is an apocalyptic number.

It is an amenable number.

21211101002201 is a deficient number, since it is larger than the sum of its proper divisors (1952870820007).

21211101002201 is a wasteful number, since it uses less digits than its factorization.

21211101002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158032.

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

Adding to 21211101002201 its reverse (10220010111212), we get a palindrome (31431111113413).

The spelling of 21211101002201 in words is "twenty-one trillion, two hundred eleven billion, one hundred one million, two thousand, two hundred one".