10011021001011 has 32 divisors (see below), whose sum is σ = 14855549990400. Its totient is φ = 6663039570720.

The previous prime is 10011021000989. The next prime is 10011021001039. The reversal of 10011021001011 is 11010012011001.

It is a de Polignac number, because none of the positive numbers 2^k-10011021001011 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10011021000984 and 10011021001002.

It is not an unprimeable number, because it can be changed into a prime (10011021001811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40021050 + ... + 40270416.

It is an arithmetic number, because the mean of its divisors is an integer number (464235937200).

Almost surely, 2^{10011021001011} is an apocalyptic number.

10011021001011 is a deficient number, since it is larger than the sum of its proper divisors (4844528989389).

10011021001011 is a wasteful number, since it uses less digits than its factorization.

10011021001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251816 (or 251810 counting only the distinct ones).

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

Adding to 10011021001011 its reverse (11010012011001), we get a palindrome (21021033012012).

The spelling of 10011021001011 in words is "ten trillion, eleven billion, twenty-one million, one thousand, eleven".