1010011121121 has 16 divisors (see below), whose sum is σ = 1418215615040. Its totient is φ = 637606494720.

The previous prime is 1010011121111. The next prime is 1010011121123. The reversal of 1010011121121 is 1211211100101.

It is not a de Polignac number, because 1010011121121 - 2⁶ = 1010011121057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010011121097 and 1010011121106.

It is not an unprimeable number, because it can be changed into a prime (1010011121123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3976660 + ... + 4223013.

It is an arithmetic number, because the mean of its divisors is an integer number (88638475940).

Almost surely, 2^{1010011121121} is an apocalyptic number.

It is an amenable number.

1010011121121 is a deficient number, since it is larger than the sum of its proper divisors (408204493919).

1010011121121 is a wasteful number, since it uses less digits than its factorization.

1010011121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8201856.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1010011121121 its reverse (1211211100101), we get a palindrome (2221222221222).

The spelling of 1010011121121 in words is "one trillion, ten billion, eleven million, one hundred twenty-one thousand, one hundred twenty-one".