1001100112221 has 16 divisors (see below), whose sum is σ = 1456687669248. Its totient is φ = 606501486000.

The previous prime is 1001100112213. The next prime is 1001100112247. The reversal of 1001100112221 is 1222110011001.

It is not a de Polignac number, because 1001100112221 - 2³ = 1001100112213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001100112197 and 1001100112206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100112261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5556355 + ... + 5733696.

It is an arithmetic number, because the mean of its divisors is an integer number (91042979328).

Almost surely, 2^{1001100112221} is an apocalyptic number.

1001100112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001100112221 is a deficient number, since it is larger than the sum of its proper divisors (455587557027).

1001100112221 is a wasteful number, since it uses less digits than its factorization.

1001100112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11292752.

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

Adding to 1001100112221 its reverse (1222110011001), we get a palindrome (2223210123222).

It can be divided in two parts, 10011001 and 12221, that multiplied together give a palindrome (122344443221).

The spelling of 1001100112221 in words is "one trillion, one billion, one hundred million, one hundred twelve thousand, two hundred twenty-one".