10031221101 has 16 divisors (see below), whose sum is σ = 14675215680. Its totient is φ = 6044382720.

The previous prime is 10031221099. The next prime is 10031221141. The reversal of 10031221101 is 10112213001.

10031221101 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 10031221101 - 2¹ = 10031221099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031221141) 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 15 ways as a sum of consecutive naturals, for example, 872836 + ... + 884253.

It is an arithmetic number, because the mean of its divisors is an integer number (917200980).

Almost surely, 2^10031221101 is an apocalyptic number.

10031221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10031221101 is a deficient number, since it is larger than the sum of its proper divisors (4643994579).

10031221101 is a wasteful number, since it uses less digits than its factorization.

10031221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757276.

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

Adding to 10031221101 its reverse (10112213001), we get a palindrome (20143434102).

It can be divided in two parts, 10031 and 221101, that added together give a palindrome (231132).

The spelling of 10031221101 in words is "ten billion, thirty-one million, two hundred twenty-one thousand, one hundred one".