10010111221 has 32 divisors (see below), whose sum is σ = 12408422400. Its totient is φ = 7961849280.

The previous prime is 10010111213. The next prime is 10010111227. The reversal of 10010111221 is 12211101001.

10010111221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10010111221 - 2³ = 10010111213 is a prime.

It is a super-2 number, since 2×10010111221² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10010111198 and 10010111207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010111227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103500 + ... + 175306.

It is an arithmetic number, because the mean of its divisors is an integer number (387763200).

Almost surely, 2^10010111221 is an apocalyptic number.

10010111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010111221 is a deficient number, since it is larger than the sum of its proper divisors (2398311179).

10010111221 is a wasteful number, since it uses less digits than its factorization.

10010111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71889.

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

Adding to 10010111221 its reverse (12211101001), we get a palindrome (22221212222).

The spelling of 10010111221 in words is "ten billion, ten million, one hundred eleven thousand, two hundred twenty-one".