1011102121 has 2 divisors, whose sum is σ = 1011102122. Its totient is φ = 1011102120.

The previous prime is 1011102109. The next prime is 1011102143. The reversal of 1011102121 is 1212011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 813390400 + 197711721 = 28520^2 + 14061^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011102121 - 2⁵ = 1011102089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011102098 and 1011102107.

It is not a weakly prime, because it can be changed into another prime (1011102151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505551060 + 505551061.

It is an arithmetic number, because the mean of its divisors is an integer number (505551061).

Almost surely, 2^1011102121 is an apocalyptic number.

It is an amenable number.

1011102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011102121 is an equidigital number, since it uses as much as digits as its factorization.

1011102121 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.

The square root of 1011102121 is about 31797.8320172933. The cubic root of 1011102121 is about 1003.6870956176.

Adding to 1011102121 its reverse (1212011101), we get a palindrome (2223113222).

The spelling of 1011102121 in words is "one billion, eleven million, one hundred two thousand, one hundred twenty-one".