20101120001001 has 20 divisors (see below), whose sum is σ = 32337414324292. Its totient is φ = 12369919999968.

The previous prime is 20101120000963. The next prime is 20101120001003. The reversal of 20101120001001 is 10010002110102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13180537511001 + 6920582490000 = 3630501^2 + 2630700^2 .

It is not a de Polignac number, because 20101120001001 - 2¹⁰ = 20101119999977 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20101120001003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9544690306 + ... + 9544692411.

Almost surely, 2^{20101120001001} is an apocalyptic number.

It is an amenable number.

20101120001001 is a deficient number, since it is larger than the sum of its proper divisors (12236294323291).

20101120001001 is a wasteful number, since it uses less digits than its factorization.

20101120001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19089382742 (or 19089382733 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20101120001001 its reverse (10010002110102), we get a palindrome (30111122111103).

The spelling of 20101120001001 in words is "twenty trillion, one hundred one billion, one hundred twenty million, one thousand, one".