102121011001 has 2 divisors, whose sum is σ = 102121011002. Its totient is φ = 102121011000.

The previous prime is 102121010909. The next prime is 102121011059. The reversal of 102121011001 is 100110121201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85438705401 + 16682305600 = 292299^2 + 129160^2 .

It is an emirp because it is prime and its reverse (100110121201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102121011001 - 2⁹ = 102121010489 is a prime.

It is not a weakly prime, because it can be changed into another prime (102121015001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060505500 + 51060505501.

It is an arithmetic number, because the mean of its divisors is an integer number (51060505501).

Almost surely, 2^102121011001 is an apocalyptic number.

It is an amenable number.

102121011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102121011001 is an equidigital number, since it uses as much as digits as its factorization.

102121011001 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 102121011001 its reverse (100110121201), we get a palindrome (202231132202).

The spelling of 102121011001 in words is "one hundred two billion, one hundred twenty-one million, eleven thousand, one".