2211221003121 has 48 divisors (see below), whose sum is σ = 3642613635024. Its totient is φ = 1280495296512.

The previous prime is 2211221003113. The next prime is 2211221003177. The reversal of 2211221003121 is 1213001221122.

2211221003121 is a `hidden beast` number, since 221 + 122 + 10 + 0 + 312 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 659798798400 + 1551422204721 = 812280^2 + 1245561^2 .

It is not a de Polignac number, because 2211221003121 - 2³ = 2211221003113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2211221003094 and 2211221003103.

It is not an unprimeable number, because it can be changed into a prime (2211221004121) 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, 12356335 + ... + 12534011.

It is an arithmetic number, because the mean of its divisors is an integer number (75887784063).

Almost surely, 2^{2211221003121} is an apocalyptic number.

It is an amenable number.

2211221003121 is a deficient number, since it is larger than the sum of its proper divisors (1431392631903).

2211221003121 is a wasteful number, since it uses less digits than its factorization.

2211221003121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183970 (or 183967 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2211221003121 its reverse (1213001221122), we get a palindrome (3424222224243).

The spelling of 2211221003121 in words is "two trillion, two hundred eleven billion, two hundred twenty-one million, three thousand, one hundred twenty-one".