1011121011001 has 8 divisors (see below), whose sum is σ = 1055112110784. Its totient is φ = 967132354320.

The previous prime is 1011121010989. The next prime is 1011121011049. The reversal of 1011121011001 is 1001101211101.

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 1011121011001 - 2⁷ = 1011121010873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011121011101) 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, 261486 + ... + 1445896.

It is an arithmetic number, because the mean of its divisors is an integer number (131889013848).

Almost surely, 2^{1011121011001} is an apocalyptic number.

It is an amenable number.

1011121011001 is a deficient number, since it is larger than the sum of its proper divisors (43991099783).

1011121011001 is a wasteful number, since it uses less digits than its factorization.

1011121011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221551.

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

Adding to 1011121011001 its reverse (1001101211101), we get a palindrome (2012222222102).

The spelling of 1011121011001 in words is "one trillion, eleven billion, one hundred twenty-one million, eleven thousand, one".