1101000121221 has 192 divisors, whose sum is σ = 2181668670720. Its totient is φ = 483460669440.

The previous prime is 1101000121189. The next prime is 1101000121237. The reversal of 1101000121221 is 1221210001011.

It is not a de Polignac number, because 1101000121221 - 2⁵ = 1101000121189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1101000121197 and 1101000121206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101000121261) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13180575 + ... + 13263843.

It is an arithmetic number, because the mean of its divisors is an integer number (11362857660).

Almost surely, 2^{1101000121221} is an apocalyptic number.

1101000121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101000121221 is a deficient number, since it is larger than the sum of its proper divisors (1080668549499).

1101000121221 is a wasteful number, since it uses less digits than its factorization.

1101000121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83364 (or 83357 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1101000121221 its reverse (1221210001011), we get a palindrome (2322210122232).

It can be divided in two parts, 1101000 and 121221, that added together give a palindrome (1222221).

The spelling of 1101000121221 in words is "one trillion, one hundred one billion, one hundred twenty-one thousand, two hundred twenty-one".