10011002111021 has 8 divisors (see below), whose sum is σ = 10031436480000. Its totient is φ = 9990569232000.

The previous prime is 10011002111009. The next prime is 10011002111029. The reversal of 10011002111021 is 12011120011001.

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 10011002111021 - 2³⁸ = 9736124204077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011002110993 and 10011002111011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011002111029) 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, 13614260 + ... + 14330738.

It is an arithmetic number, because the mean of its divisors is an integer number (1253929560000).

Almost surely, 2^{10011002111021} is an apocalyptic number.

It is an amenable number.

10011002111021 is a deficient number, since it is larger than the sum of its proper divisors (20434368979).

10011002111021 is an equidigital number, since it uses as much as digits as its factorization.

10011002111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744979.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10011002111021 its reverse (12011120011001), we get a palindrome (22022122122022).

The spelling of 10011002111021 in words is "ten trillion, eleven billion, two million, one hundred eleven thousand, twenty-one".