1011011102001 has 48 divisors (see below), whose sum is σ = 1483311648000. Its totient is φ = 663493856256.

The previous prime is 1011011101987. The next prime is 1011011102009. The reversal of 1011011102001 is 1002011101101.

It is not a de Polignac number, because 1011011102001 - 2¹¹ = 1011011099953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1011011102009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286484805 + ... + 286488333.

It is an arithmetic number, because the mean of its divisors is an integer number (30902326000).

Almost surely, 2^{1011011102001} is an apocalyptic number.

It is an amenable number.

1011011102001 is a deficient number, since it is larger than the sum of its proper divisors (472300545999).

1011011102001 is a wasteful number, since it uses less digits than its factorization.

1011011102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5390 (or 5387 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1011011102001 its reverse (1002011101101), we get a palindrome (2013022203102).

The spelling of 1011011102001 in words is "one trillion, eleven billion, eleven million, one hundred two thousand, one".