1010100909121 has 2 divisors, whose sum is σ = 1010100909122. Its totient is φ = 1010100909120.

The previous prime is 1010100909089. The next prime is 1010100909137. The reversal of 1010100909121 is 1219090010101.

1010100909121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 522288063025 + 487812846096 = 722695^2 + 698436^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010100909121 - 2⁵ = 1010100909089 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010100909151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050454560 + 505050454561.

It is an arithmetic number, because the mean of its divisors is an integer number (505050454561).

Almost surely, 2^{1010100909121} is an apocalyptic number.

It is an amenable number.

1010100909121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010100909121 is an equidigital number, since it uses as much as digits as its factorization.

1010100909121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 25.

Adding to 1010100909121 its reverse (1219090010101), we get a palindrome (2229190919222).

The spelling of 1010100909121 in words is "one trillion, ten billion, one hundred million, nine hundred nine thousand, one hundred twenty-one".