1010111011001 has 8 divisors (see below), whose sum is σ = 1031422232424. Its totient is φ = 989001792000.

The previous prime is 1010111010919. The next prime is 1010111011009. The reversal of 1010111011001 is 1001101110101.

It can be written as a sum of positive squares in 4 ways, for example, as 301906291600 + 708204719401 = 549460^2 + 841549^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010111011001 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 1010111011001.

It is not an unprimeable number, because it can be changed into a prime (1010111011009) 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, 50490500 + ... + 50510501.

It is an arithmetic number, because the mean of its divisors is an integer number (128927779053).

Almost surely, 2^{1010111011001} is an apocalyptic number.

It is an amenable number.

1010111011001 is a deficient number, since it is larger than the sum of its proper divisors (21311221423).

1010111011001 is a wasteful number, since it uses less digits than its factorization.

1010111011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101001211.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1010111011001 its reverse (1001101110101), we get a palindrome (2011212121102).

The spelling of 1010111011001 in words is "one trillion, ten billion, one hundred eleven million, eleven thousand, one".