100111131021 has 8 divisors (see below), whose sum is σ = 145616190624. Its totient is φ = 60673412720.

The previous prime is 100111131007. The next prime is 100111131031. The reversal of 100111131021 is 120131111001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100111131021 - 2⁵ = 100111130989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111130988 and 100111131006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111131031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1516835286 + ... + 1516835351.

It is an arithmetic number, because the mean of its divisors is an integer number (18202023828).

Almost surely, 2^100111131021 is an apocalyptic number.

100111131021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111131021 is a deficient number, since it is larger than the sum of its proper divisors (45505059603).

100111131021 is a wasteful number, since it uses less digits than its factorization.

100111131021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033670651.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 100111131021 its reverse (120131111001), we get a palindrome (220242242022).

It can be divided in two parts, 100111 and 131021, that added together give a palindrome (231132).

The spelling of 100111131021 in words is "one hundred billion, one hundred eleven million, one hundred thirty-one thousand, twenty-one".