221210201021121 has 48 divisors (see below), whose sum is σ = 353699931823056. Its totient is φ = 132378921013248.

The previous prime is 221210201021063. The next prime is 221210201021137. The reversal of 221210201021121 is 121120102012122.

221210201021121 is a `hidden beast` number, since 2 + 21 + 210 + 201 + 0 + 211 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 110721427880625 + 110488773140496 = 10522425^2 + 10511364^2 .

It is not a de Polignac number, because 221210201021121 - 2³⁷ = 221072762067649 is a prime.

It is a super-2 number, since 2×221210201021121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221210201021094 and 221210201021103.

It is not an unprimeable number, because it can be changed into a prime (221210201021191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157145796 + ... + 158547221.

It is an arithmetic number, because the mean of its divisors is an integer number (7368748579647).

Almost surely, 2^{221210201021121} is an apocalyptic number.

It is an amenable number.

221210201021121 is a deficient number, since it is larger than the sum of its proper divisors (132489730801935).

221210201021121 is a wasteful number, since it uses less digits than its factorization.

221210201021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315693202 (or 315693199 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221210201021121 its reverse (121120102012122), we get a palindrome (342330303033243).

The spelling of 221210201021121 in words is "two hundred twenty-one trillion, two hundred ten billion, two hundred one million, twenty-one thousand, one hundred twenty-one".