1011211116121 has 2 divisors, whose sum is σ = 1011211116122. Its totient is φ = 1011211116120.

The previous prime is 1011211116109. The next prime is 1011211116133. The reversal of 1011211116121 is 1216111121101.

It is a balanced prime because it is at equal distance from previous prime (1011211116109) and next prime (1011211116133).

It can be written as a sum of positive squares in only one way, i.e., 953286660496 + 57924455625 = 976364^2 + 240675^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011211116121 - 2⁵ = 1011211116089 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011211116101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505605558060 + 505605558061.

It is an arithmetic number, because the mean of its divisors is an integer number (505605558061).

Almost surely, 2^{1011211116121} is an apocalyptic number.

It is an amenable number.

1011211116121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011211116121 is an equidigital number, since it uses as much as digits as its factorization.

1011211116121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 19.

Adding to 1011211116121 its reverse (1216111121101), we get a palindrome (2227322237222).

The spelling of 1011211116121 in words is "one trillion, eleven billion, two hundred eleven million, one hundred sixteen thousand, one hundred twenty-one".