211211221102001 has 8 divisors (see below), whose sum is σ = 213154787399400. Its totient is φ = 209267761144320.

The previous prime is 211211221101971. The next prime is 211211221102087. The reversal of 211211221102001 is 100201122112112.

It can be written as a sum of positive squares in 4 ways, for example, as 51487728495025 + 159723492606976 = 7175495^2 + 12638176^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211211221102001 - 2³⁸ = 210936343195057 is a prime.

It is a super-2 number, since 2×211211221102001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211211221102201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22591520 + ... + 30541761.

It is an arithmetic number, because the mean of its divisors is an integer number (26644348424925).

Almost surely, 2^{211211221102001} is an apocalyptic number.

It is an amenable number.

211211221102001 is a deficient number, since it is larger than the sum of its proper divisors (1943566297399).

211211221102001 is a wasteful number, since it uses less digits than its factorization.

211211221102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53169859.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211211221102001 its reverse (100201122112112), we get a palindrome (311412343214113).

The spelling of 211211221102001 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred twenty-one million, one hundred two thousand, one".