1000111102221 has 64 divisors (see below), whose sum is σ = 1681837572096. Its totient is φ = 513519744000.

The previous prime is 1000111102169. The next prime is 1000111102253. The reversal of 1000111102221 is 1222011110001.

It is not a de Polignac number, because 1000111102221 - 2⁹ = 1000111101709 is a prime.

It is a super-2 number, since 2×1000111102221² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000111102197 and 1000111102206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000111102421) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 13799140 + ... + 13871426.

It is an arithmetic number, because the mean of its divisors is an integer number (26278712064).

Almost surely, 2^{1000111102221} is an apocalyptic number.

1000111102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000111102221 is a deficient number, since it is larger than the sum of its proper divisors (681726469875).

1000111102221 is a wasteful number, since it uses less digits than its factorization.

1000111102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73002.

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

Adding to 1000111102221 its reverse (1222011110001), we get a palindrome (2222122212222).

The spelling of 1000111102221 in words is "one trillion, one hundred eleven million, one hundred two thousand, two hundred twenty-one".