1010112321121 has 16 divisors (see below), whose sum is σ = 1070591074560. Its totient is φ = 951350538880.

The previous prime is 1010112321109. The next prime is 1010112321137. The reversal of 1010112321121 is 1211232110101.

It is a happy number.

It is not a de Polignac number, because 1010112321121 - 2⁷ = 1010112320993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010112321095 and 1010112321104.

It is not an unprimeable number, because it can be changed into a prime (1010112321151) 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, 8313816 + ... + 8434438.

It is an arithmetic number, because the mean of its divisors is an integer number (66911942160).

Almost surely, 2^{1010112321121} is an apocalyptic number.

It is an amenable number.

1010112321121 is a deficient number, since it is larger than the sum of its proper divisors (60478753439).

1010112321121 is a wasteful number, since it uses less digits than its factorization.

1010112321121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127736.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1010112321121 its reverse (1211232110101), we get a palindrome (2221344431222).

The spelling of 1010112321121 in words is "one trillion, ten billion, one hundred twelve million, three hundred twenty-one thousand, one hundred twenty-one".