10011021111001 has 48 divisors (see below), whose sum is σ = 10563526135440. Its totient is φ = 9485392896000.

The previous prime is 10011021110947. The next prime is 10011021111059. The reversal of 10011021111001 is 10011112011001.

It can be written as a sum of positive squares in 8 ways, for example, as 2729685534976 + 7281335576025 = 1652176^2 + 2698395^2 .

It is not a de Polignac number, because 10011021111001 - 2¹⁷ = 10011020979929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011021111401) 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, 6723317665 + ... + 6723319153.

It is an arithmetic number, because the mean of its divisors is an integer number (220073461155).

Almost surely, 2^{10011021111001} is an apocalyptic number.

It is an amenable number.

10011021111001 is a deficient number, since it is larger than the sum of its proper divisors (552505024439).

10011021111001 is a wasteful number, since it uses less digits than its factorization.

10011021111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2347 counting only the distinct ones).

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

Adding to 10011021111001 its reverse (10011112011001), we get a palindrome (20022133122002).

The spelling of 10011021111001 in words is "ten trillion, eleven billion, twenty-one million, one hundred eleven thousand, one".