10122002011001 has 2 divisors, whose sum is σ = 10122002011002. Its totient is φ = 10122002011000.

The previous prime is 10122002010997. The next prime is 10122002011063. The reversal of 10122002011001 is 10011020022101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6471223699600 + 3650778311401 = 2543860^2 + 1910701^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122002011001 - 2² = 10122002010997 is a prime.

It is not a weakly prime, because it can be changed into another prime (10122002011201) 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, 5061001005500 + 5061001005501.

It is an arithmetic number, because the mean of its divisors is an integer number (5061001005501).

Almost surely, 2^{10122002011001} is an apocalyptic number.

It is an amenable number.

10122002011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122002011001 is an equidigital number, since it uses as much as digits as its factorization.

10122002011001 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 11.

Adding to 10122002011001 its reverse (10011020022101), we get a palindrome (20133022033102).

The spelling of 10122002011001 in words is "ten trillion, one hundred twenty-two billion, two million, eleven thousand, one".