10101110011001 has 8 divisors (see below), whose sum is σ = 10116991721160. Its totient is φ = 10085240507392.

The previous prime is 10101110010997. The next prime is 10101110011033. The reversal of 10101110011001 is 10011001110101.

It can be written as a sum of positive squares in 4 ways, for example, as 828871859776 + 9272238151225 = 910424^2 + 3045035^2 .

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 10101110011001 - 2² = 10101110010997 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 10101110011001.

It is not an unprimeable number, because it can be changed into a prime (10101110011061) 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, 1394600 + ... + 4706073.

It is an arithmetic number, because the mean of its divisors is an integer number (1264623965145).

Almost surely, 2^{10101110011001} is an apocalyptic number.

It is an amenable number.

10101110011001 is a deficient number, since it is larger than the sum of its proper divisors (15881710159).

10101110011001 is a wasteful number, since it uses less digits than its factorization.

10101110011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6103275.

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

Adding to 10101110011001 its reverse (10011001110101), we get a palindrome (20112111121102).

The spelling of 10101110011001 in words is "ten trillion, one hundred one billion, one hundred ten million, eleven thousand, one".