10100111021 has 32 divisors (see below), whose sum is σ = 13685548800. Its totient is φ = 7198087680.

The previous prime is 10100110997. The next prime is 10100111059. The reversal of 10100111021 is 12011100101.

It is a happy number.

10100111021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-10100111021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100111071) 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, 62825 + ... + 155393.

It is an arithmetic number, because the mean of its divisors is an integer number (427673400).

Almost surely, 2^10100111021 is an apocalyptic number.

10100111021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100111021 is a deficient number, since it is larger than the sum of its proper divisors (3585437779).

10100111021 is a wasteful number, since it uses less digits than its factorization.

10100111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92709.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100111021 its reverse (12011100101), we get a palindrome (22111211122).

It can be divided in two parts, 10100 and 111021, that added together give a palindrome (121121).

The spelling of 10100111021 in words is "ten billion, one hundred million, one hundred eleven thousand, twenty-one".