20001201101001 has 16 divisors (see below), whose sum is σ = 29632622281920. Its totient is φ = 13333588107840.

The previous prime is 20001201100967. The next prime is 20001201101009. The reversal of 20001201101001 is 10010110210002.

It is a happy number.

It is not a de Polignac number, because 20001201101001 - 2⁷ = 20001201100873 is a prime.

It is a super-2 number, since 2×20001201101001² (a number of 27 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20001201101009) 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, 14493360 + ... + 15813281.

It is an arithmetic number, because the mean of its divisors is an integer number (1852038892620).

Almost surely, 2^{20001201101001} is an apocalyptic number.

It is an amenable number.

20001201101001 is a deficient number, since it is larger than the sum of its proper divisors (9631421180919).

20001201101001 is a wasteful number, since it uses less digits than its factorization.

20001201101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30331093 (or 30331087 counting only the distinct ones).

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

Adding to 20001201101001 its reverse (10010110210002), we get a palindrome (30011311311003).

It can be divided in two parts, 2000120 and 1101001, that added together give a square (3101121 = 1761²).

The spelling of 20001201101001 in words is "twenty trillion, one billion, two hundred one million, one hundred one thousand, one".