2220100133121 has 24 divisors (see below), whose sum is σ = 3518649277416. Its totient is φ = 1340437812480.

The previous prime is 2220100133059. The next prime is 2220100133179. The reversal of 2220100133121 is 1213310010222.

It can be written as a sum of positive squares in 4 ways, for example, as 140343890625 + 2079756242496 = 374625^2 + 1442136^2 .

It is not a de Polignac number, because 2220100133121 - 2¹⁴ = 2220100116737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2220100133094 and 2220100133103.

It is not an unprimeable number, because it can be changed into a prime (2220100133221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179005260 + ... + 179017661.

It is an arithmetic number, because the mean of its divisors is an integer number (146610386559).

Almost surely, 2^{2220100133121} is an apocalyptic number.

It is an amenable number.

2220100133121 is a deficient number, since it is larger than the sum of its proper divisors (1298549144295).

2220100133121 is a wasteful number, since it uses less digits than its factorization.

2220100133121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358022993 (or 358022990 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2220100133121 its reverse (1213310010222), we get a palindrome (3433410143343).

The spelling of 2220100133121 in words is "two trillion, two hundred twenty billion, one hundred million, one hundred thirty-three thousand, one hundred twenty-one".