10011022011001 has 32 divisors (see below), whose sum is σ = 11248787644416. Its totient is φ = 8830418256000.

The previous prime is 10011022010959. The next prime is 10011022011007.

10011022011001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10011022011001 - 2²¹ = 10011019913849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011022011007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68737680 + ... + 68883166.

It is an arithmetic number, because the mean of its divisors is an integer number (351524613888).

Almost surely, 2^{10011022011001} is an apocalyptic number.

10011022011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011022011001 is a deficient number, since it is larger than the sum of its proper divisors (1237765633415).

10011022011001 is a wasteful number, since it uses less digits than its factorization.

10011022011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146373.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 1001102 and 2011001, that multiplied together give a palindrome (2013217123102).

The spelling of 10011022011001 in words is "ten trillion, eleven billion, twenty-two million, eleven thousand, one".