221100121001122 has 96 divisors (see below), whose sum is σ = 371237508294912. Its totient is φ = 98673461040000.

The previous prime is 221100121001113. The next prime is 221100121001153.

221100121001122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 221100121001096 and 221100121001105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1718379363 + ... + 1718508025.

It is an arithmetic number, because the mean of its divisors is an integer number (3867057378072).

Almost surely, 2^{221100121001122} is an apocalyptic number.

221100121001122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221100121001122 is a deficient number, since it is larger than the sum of its proper divisors (150137387293790).

221100121001122 is a wasteful number, since it uses less digits than its factorization.

221100121001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129376 (or 129365 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 221100121001122 in words is "two hundred twenty-one trillion, one hundred billion, one hundred twenty-one million, one thousand, one hundred twenty-two".