211220102221001 has 12 divisors (see below), whose sum is σ = 224382110340300. Its totient is φ = 198789692663040.

The previous prime is 211220102220997. The next prime is 211220102221043. The reversal of 211220102221001 is 100122201022112.

It can be written as a sum of positive squares in 6 ways, for example, as 4268170062025 + 206951932158976 = 2065955^2 + 14385824^2 .

It is not a de Polignac number, because 211220102221001 - 2² = 211220102220997 is a prime.

It is a super-2 number, since 2×211220102221001² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211220102221201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355910 + ... + 20556431.

It is an arithmetic number, because the mean of its divisors is an integer number (18698509195025).

Almost surely, 2^{211220102221001} is an apocalyptic number.

It is an amenable number.

211220102221001 is a deficient number, since it is larger than the sum of its proper divisors (13162008119299).

211220102221001 is a wasteful number, since it uses less digits than its factorization.

211220102221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20947324 (or 20947307 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211220102221001 its reverse (100122201022112), we get a palindrome (311342303243113).

The spelling of 211220102221001 in words is "two hundred eleven trillion, two hundred twenty billion, one hundred two million, two hundred twenty-one thousand, one".