102001111120021 has 2 divisors, whose sum is σ = 102001111120022. Its totient is φ = 102001111120020.

The previous prime is 102001111119991. The next prime is 102001111120091. The reversal of 102001111120021 is 120021111100201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67071415401796 + 34929695718225 = 8189714^2 + 5910135^2 .

It is a cyclic number.

It is not a de Polignac number, because 102001111120021 - 2¹⁹ = 102001110595733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102001111119983 and 102001111120010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102001111120091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000555560010 + 51000555560011.

It is an arithmetic number, because the mean of its divisors is an integer number (51000555560011).

Almost surely, 2^{102001111120021} is an apocalyptic number.

It is an amenable number.

102001111120021 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001111120021 is an equidigital number, since it uses as much as digits as its factorization.

102001111120021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102001111120021 its reverse (120021111100201), we get a palindrome (222022222220222).

The spelling of 102001111120021 in words is "one hundred two trillion, one billion, one hundred eleven million, one hundred twenty thousand, twenty-one".