1101121110001 has 8 divisors (see below), whose sum is σ = 1204684771104. Its totient is φ = 998134405920.

The previous prime is 1101121109993. The next prime is 1101121110029. The reversal of 1101121110001 is 1000111211011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1101121110001 - 2³ = 1101121109993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1101121110001.

It is not an unprimeable number, because it can be changed into a prime (1101121110091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144235260 + ... + 144242893.

It is an arithmetic number, because the mean of its divisors is an integer number (150585596388).

Almost surely, 2^{1101121110001} is an apocalyptic number.

1101121110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101121110001 is a deficient number, since it is larger than the sum of its proper divisors (103563661103).

1101121110001 is a wasteful number, since it uses less digits than its factorization.

1101121110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288478511.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1101121110001 its reverse (1000111211011), we get a palindrome (2101232321012).

The spelling of 1101121110001 in words is "one trillion, one hundred one billion, one hundred twenty-one million, one hundred ten thousand, one".