1011122101121 has 12 divisors (see below), whose sum is σ = 1149722769300. Its totient is φ = 887505289440.

The previous prime is 1011122101117. The next prime is 1011122101177. The reversal of 1011122101121 is 1211012211101.

It can be written as a sum of positive squares in 2 ways, for example, as 650137428721 + 360984672400 = 806311^2 + 600820^2 .

It is not a de Polignac number, because 1011122101121 - 2² = 1011122101117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011122101096 and 1011122101105.

It is not an unprimeable number, because it can be changed into a prime (1011122101111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144072026 + ... + 144079043.

It is an arithmetic number, because the mean of its divisors is an integer number (95810230775).

Almost surely, 2^{1011122101121} is an apocalyptic number.

1011122101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011122101121 is a deficient number, since it is larger than the sum of its proper divisors (138600668179).

1011122101121 is a wasteful number, since it uses less digits than its factorization.

1011122101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288151120 (or 288151109 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1011122101121 its reverse (1211012211101), we get a palindrome (2222134312222).

The spelling of 1011122101121 in words is "one trillion, eleven billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty-one".