100009111021 has 2 divisors, whose sum is σ = 100009111022. Its totient is φ = 100009111020.

The previous prime is 100009110863. The next prime is 100009111087. The reversal of 100009111021 is 120111900001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69163214121 + 30845896900 = 262989^2 + 175630^2 .

It is a cyclic number.

It is not a de Polignac number, because 100009111021 - 2¹⁷ = 100008979949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100009110986 and 100009111004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100009811021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50004555510 + 50004555511.

It is an arithmetic number, because the mean of its divisors is an integer number (50004555511).

Almost surely, 2^100009111021 is an apocalyptic number.

It is an amenable number.

100009111021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100009111021 is an equidigital number, since it uses as much as digits as its factorization.

100009111021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 100009111021 in words is "one hundred billion, nine million, one hundred eleven thousand, twenty-one".