1120001101121 has 12 divisors (see below), whose sum is σ = 1379497155588. Its totient is φ = 903530299392.

The previous prime is 1120001101111. The next prime is 1120001101157. The reversal of 1120001101121 is 1211011000211.

It can be written as a sum of positive squares in 2 ways, for example, as 831160422400 + 288840678721 = 911680^2 + 537439^2 .

It is not a de Polignac number, because 1120001101121 - 2²⁶ = 1119933992257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1120001101111) 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, 672268736 + ... + 672270401.

It is an arithmetic number, because the mean of its divisors is an integer number (114958096299).

Almost surely, 2^{1120001101121} is an apocalyptic number.

It is an amenable number.

1120001101121 is a deficient number, since it is larger than the sum of its proper divisors (259496054467).

1120001101121 is a wasteful number, since it uses less digits than its factorization.

1120001101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344539168 (or 1344539161 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1120001101121 its reverse (1211011000211), we get a palindrome (2331012101332).

It can be divided in two parts, 112000 and 1101121, that added together give a palindrome (1213121).

The spelling of 1120001101121 in words is "one trillion, one hundred twenty billion, one million, one hundred one thousand, one hundred twenty-one".