1011002122121 has 2 divisors, whose sum is σ = 1011002122122. Its totient is φ = 1011002122120.

The previous prime is 1011002122099. The next prime is 1011002122159. The reversal of 1011002122121 is 1212212001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 994806760000 + 16195362121 = 997400^2 + 127261^2 .

It is an emirp because it is prime and its reverse (1212212001101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1011002122121 - 2²² = 1010997927817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011002122096 and 1011002122105.

It is not a weakly prime, because it can be changed into another prime (1011002122181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505501061060 + 505501061061.

It is an arithmetic number, because the mean of its divisors is an integer number (505501061061).

Almost surely, 2^{1011002122121} is an apocalyptic number.

It is an amenable number.

1011002122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011002122121 is an equidigital number, since it uses as much as digits as its factorization.

1011002122121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1011002122121 its reverse (1212212001101), we get a palindrome (2223214123222).

The spelling of 1011002122121 in words is "one trillion, eleven billion, two million, one hundred twenty-two thousand, one hundred twenty-one".