10111020021001 has 2 divisors, whose sum is σ = 10111020021002. Its totient is φ = 10111020021000.

The previous prime is 10111020020977. The next prime is 10111020021017. The reversal of 10111020021001 is 10012002011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5415282709776 + 4695737311225 = 2327076^2 + 2166965^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111020021001 - 2¹⁵ = 10111019988233 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111020021031) 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 as a sum of consecutive naturals, namely, 5055510010500 + 5055510010501.

It is an arithmetic number, because the mean of its divisors is an integer number (5055510010501).

Almost surely, 2^{10111020021001} is an apocalyptic number.

It is an amenable number.

10111020021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111020021001 is an equidigital number, since it uses as much as digits as its factorization.

10111020021001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10111020021001 its reverse (10012002011101), we get a palindrome (20123022032102).

The spelling of 10111020021001 in words is "ten trillion, one hundred eleven billion, twenty million, twenty-one thousand, one".