1011112101001 has 16 divisors (see below), whose sum is σ = 1046416586688. Its totient is φ = 976372488000.

The previous prime is 1011112100989. The next prime is 1011112101007. The reversal of 1011112101001 is 1001012111101.

It is a cyclic number.

It is not a de Polignac number, because 1011112101001 - 2⁵ = 1011112100969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011112101007) 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, 2768266 + ... + 3112156.

It is an arithmetic number, because the mean of its divisors is an integer number (65401036668).

Almost surely, 2^{1011112101001} is an apocalyptic number.

It is an amenable number.

1011112101001 is a deficient number, since it is larger than the sum of its proper divisors (35304485687).

1011112101001 is a wasteful number, since it uses less digits than its factorization.

1011112101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344712.

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

Adding to 1011112101001 its reverse (1001012111101), we get a palindrome (2012124212102).

The spelling of 1011112101001 in words is "one trillion, eleven billion, one hundred twelve million, one hundred one thousand, one".