1011011211121 has 6 divisors (see below), whose sum is σ = 1073980767830. Its totient is φ = 951539963136.

The previous prime is 1011011211083. The next prime is 1011011211167. The reversal of 1011011211121 is 1211121101101.

It can be written as a sum of positive squares in 3 ways, for example, as 182794727025 + 828216484096 = 427545^2 + 910064^2 .

It is not a de Polignac number, because 1011011211121 - 2⁹ = 1011011210609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011011211191) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1749154056 + ... + 1749154633.

Almost surely, 2^{1011011211121} is an apocalyptic number.

It is an amenable number.

1011011211121 is a deficient number, since it is larger than the sum of its proper divisors (62969556709).

1011011211121 is an equidigital number, since it uses as much as digits as its factorization.

1011011211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498308723 (or 3498308706 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1011011211121 its reverse (1211121101101), we get a palindrome (2222132312222).

It can be divided in two parts, 101101 and 1211121, that multiplied together give a palindrome (122445544221).

The spelling of 1011011211121 in words is "one trillion, eleven billion, eleven million, two hundred eleven thousand, one hundred twenty-one".