20110001011001 has 16 divisors (see below), whose sum is σ = 22160802744000. Its totient is φ = 18096390984000.

The previous prime is 20110001010991. The next prime is 20110001011019. The reversal of 20110001011001 is 10011010001102.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20110001011001 is a prime.

It is a super-2 number, since 2×20110001011001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20110001011001.

It is not an unprimeable number, because it can be changed into a prime (20110001011801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2346035 + ... + 6761943.

It is an arithmetic number, because the mean of its divisors is an integer number (1385050171500).

Almost surely, 2^{20110001011001} is an apocalyptic number.

It is an amenable number.

20110001011001 is a deficient number, since it is larger than the sum of its proper divisors (2050801732999).

20110001011001 is a wasteful number, since it uses less digits than its factorization.

20110001011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4420120.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 20110001011001 its reverse (10011010001102), we get a palindrome (30121011012103).

It can be divided in two parts, 2011000101 and 1001, that added together give a palindrome (2011001102).

The spelling of 20110001011001 in words is "twenty trillion, one hundred ten billion, one million, eleven thousand, one".