10011021011001 has 64 divisors (see below), whose sum is σ = 16272083520000. Its totient is φ = 6062662045440.

The previous prime is 10011021010987. The next prime is 10011021011003. The reversal of 10011021011001 is 10011012011001.

It is not a de Polignac number, because 10011021011001 - 2⁹ = 10011021010489 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10011021011003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3457926 + ... + 5655023.

It is an arithmetic number, because the mean of its divisors is an integer number (254251305000).

Almost surely, 2^{10011021011001} is an apocalyptic number.

It is an amenable number.

10011021011001 is a deficient number, since it is larger than the sum of its proper divisors (6261062508999).

10011021011001 is a wasteful number, since it uses less digits than its factorization.

10011021011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9113071 (or 9113065 counting only the distinct ones).

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

Adding to 10011021011001 its reverse (10011012011001), we get a palindrome (20022033022002).

Subtracting from 10011021011001 its reverse (10011012011001), we obtain a square (9000000 = 3000²).

The spelling of 10011021011001 in words is "ten trillion, eleven billion, twenty-one million, eleven thousand, one".