10111111000021 has 2 divisors, whose sum is σ = 10111111000022. Its totient is φ = 10111111000020.

The previous prime is 10111110999967. The next prime is 10111111000031. The reversal of 10111111000021 is 12000011111101.

It is an a-pointer prime, because the next prime (10111111000031) can be obtained adding 10111111000021 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8927910937521 + 1183200062500 = 2987961^2 + 1087750^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111111000021 - 2¹⁹ = 10111110475733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111110999971 and 10111111000007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111111000031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055555500010 + 5055555500011.

It is an arithmetic number, because the mean of its divisors is an integer number (5055555500011).

Almost surely, 2^{10111111000021} is an apocalyptic number.

It is an amenable number.

10111111000021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111111000021 is an equidigital number, since it uses as much as digits as its factorization.

10111111000021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10111111000021 its reverse (12000011111101), we get a palindrome (22111122111122).

The spelling of 10111111000021 in words is "ten trillion, one hundred eleven billion, one hundred eleven million, twenty-one", and thus it is an aban number.