1000010111221 has 16 divisors (see below), whose sum is σ = 1111633920000. Its totient is φ = 891900370800.

The previous prime is 1000010111209. The next prime is 1000010111237. The reversal of 1000010111221 is 1221110100001.

It is a cyclic number.

It is not a de Polignac number, because 1000010111221 - 2⁵ = 1000010111189 is a prime.

It is a super-2 number, since 2×1000010111221² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000010111198 and 1000010111207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000010111251) 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, 1220085 + ... + 1867786.

It is an arithmetic number, because the mean of its divisors is an integer number (69477120000).

Almost surely, 2^{1000010111221} is an apocalyptic number.

1000010111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000010111221 is a deficient number, since it is larger than the sum of its proper divisors (111623808779).

1000010111221 is a wasteful number, since it uses less digits than its factorization.

1000010111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088440.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1000010111221 its reverse (1221110100001), we get a palindrome (2221120211222).

The spelling of 1000010111221 in words is "one trillion, ten million, one hundred eleven thousand, two hundred twenty-one".