2001101100201 has 32 divisors (see below), whose sum is σ = 3405846528000. Its totient is φ = 1137499482960.

The previous prime is 2001101100197. The next prime is 2001101100239. The reversal of 2001101100201 is 1020011011002.

It is a happy number.

It is not a de Polignac number, because 2001101100201 - 2² = 2001101100197 is a prime.

It is a super-2 number, since 2×2001101100201² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2001101100001) 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, 27680751 + ... + 27752948.

It is an arithmetic number, because the mean of its divisors is an integer number (106432704000).

Almost surely, 2^{2001101100201} is an apocalyptic number.

2001101100201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2001101100201 is a deficient number, since it is larger than the sum of its proper divisors (1404745427799).

2001101100201 is a wasteful number, since it uses less digits than its factorization.

2001101100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55433906 (or 55433900 counting only the distinct ones).

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

Adding to 2001101100201 its reverse (1020011011002), we get a palindrome (3021112111203).

The spelling of 2001101100201 in words is "two trillion, one billion, one hundred one million, one hundred thousand, two hundred one".