1011111012121 has 32 divisors (see below), whose sum is σ = 1244862259200. Its totient is φ = 802045411200.

The previous prime is 1011111012113. The next prime is 1011111012157. The reversal of 1011111012121 is 1212101111101.

It is a cyclic number.

It is not a de Polignac number, because 1011111012121 - 2³ = 1011111012113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011111012521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467896 + ... + 1497046.

It is an arithmetic number, because the mean of its divisors is an integer number (38901945600).

Almost surely, 2^{1011111012121} is an apocalyptic number.

It is an amenable number.

1011111012121 is a deficient number, since it is larger than the sum of its proper divisors (233751247079).

1011111012121 is a wasteful number, since it uses less digits than its factorization.

1011111012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029349.

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

Adding to 1011111012121 its reverse (1212101111101), we get a palindrome (2223212123222).

The spelling of 1011111012121 in words is "one trillion, eleven billion, one hundred eleven million, twelve thousand, one hundred twenty-one".