221121101121122 has 8 divisors (see below), whose sum is σ = 332508787971372. Its totient is φ = 110284838464000.

The previous prime is 221121101121121. The next prime is 221121101121127.

It is a happy number.

221121101121122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 162752249838721 + 58368851282401 = 12757439^2 + 7639951^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×221121101121122² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221121101121094 and 221121101121103.

It is not an unprimeable number, because it can be changed into a prime (221121101121121) 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 3 ways as a sum of consecutive naturals, for example, 137856047279 + ... + 137856048882.

Almost surely, 2^{221121101121122} is an apocalyptic number.

221121101121122 is a deficient number, since it is larger than the sum of its proper divisors (111387686850250).

221121101121122 is a wasteful number, since it uses less digits than its factorization.

221121101121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275712096564.

The product of its (nonzero) digits is 64, while the sum is 20.

It can be divided in two parts, 22112110 and 1121122, that added together give a palindrome (23233232).

The spelling of 221121101121122 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty-two".