1000112121221 has 16 divisors (see below), whose sum is σ = 1008303164400. Its totient is φ = 991959367680.

The previous prime is 1000112121161. The next prime is 1000112121223. The reversal of 1000112121221 is 1221212110001.

It can be written as a sum of positive squares in 8 ways, for example, as 1651528321 + 998460592900 = 40639^2 + 999230^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000112121221 - 2¹⁸ = 1000111859077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000112121196 and 1000112121205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000112121223) 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, 132478955 + ... + 132486503.

It is an arithmetic number, because the mean of its divisors is an integer number (63018947775).

Almost surely, 2^{1000112121221} is an apocalyptic number.

It is an amenable number.

1000112121221 is a deficient number, since it is larger than the sum of its proper divisors (8191043179).

1000112121221 is a wasteful number, since it uses less digits than its factorization.

1000112121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9944.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1000112121221 its reverse (1221212110001), we get a palindrome (2221324231222).

The spelling of 1000112121221 in words is "one trillion, one hundred twelve million, one hundred twenty-one thousand, two hundred twenty-one".