221121000121122 has 12 divisors (see below), whose sum is σ = 479095500262470. Its totient is φ = 73707000040368.

The previous prime is 221121000121093. The next prime is 221121000121127.

221121000121122 is a `hidden beast` number, since 2 + 211 + 210 + 0 + 0 + 121 + 122 = 666.

221121000121122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 113066409626361 + 108054590494761 = 10633269^2 + 10394931^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12284500006729 = 221121000121122 / (2 + 2 + 1 + 1 + 2 + 1 + 0 + 0 + 0 + 1 + 2 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 221121000121095 and 221121000121104.

It is not an unprimeable number, because it can be changed into a prime (221121000121127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6142250003347 + ... + 6142250003382.

Almost surely, 2^{221121000121122} is an apocalyptic number.

221121000121122 is an abundant number, since it is smaller than the sum of its proper divisors (257974500141348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221121000121122 is a wasteful number, since it uses less digits than its factorization.

221121000121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12284500006737 (or 12284500006734 counting only the distinct ones).

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

It can be divided in two parts, 221121000 and 121122, that added together give a palindrome (221242122).

The spelling of 221121000121122 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, one hundred twenty-one thousand, one hundred twenty-two".