1121110101001 has 8 divisors (see below), whose sum is σ = 1223867484000. Its totient is φ = 1018492431840.

The previous prime is 1121110100987. The next prime is 1121110101031. The reversal of 1121110101001 is 1001010111211.

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 1121110101001 - 2⁹ = 1121110100489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1121110101031) 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, 34911676 + ... + 34943773.

It is an arithmetic number, because the mean of its divisors is an integer number (152983435500).

Almost surely, 2^{1121110101001} is an apocalyptic number.

1121110101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1121110101001 is a deficient number, since it is larger than the sum of its proper divisors (102757382999).

1121110101001 is a wasteful number, since it uses less digits than its factorization.

1121110101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69856919.

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

Adding to 1121110101001 its reverse (1001010111211), we get a palindrome (2122120212212).

The spelling of 1121110101001 in words is "one trillion, one hundred twenty-one billion, one hundred ten million, one hundred one thousand, one".