202001101100001 has 80 divisors (see below), whose sum is σ = 345185268736000. Its totient is φ = 115321211799552.

The previous prime is 202001101099991. The next prime is 202001101100059. The reversal of 202001101100001 is 100001101100202.

It is a happy number.

It is not a de Polignac number, because 202001101100001 - 2²³ = 202001092711393 is a prime.

It is a super-2 number, since 2×202001101100001² (a number of 29 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 (202001101101001) 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 79 ways as a sum of consecutive naturals, for example, 5796450225 + ... + 5796485073.

It is an arithmetic number, because the mean of its divisors is an integer number (4314815859200).

Almost surely, 2^{202001101100001} is an apocalyptic number.

202001101100001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

202001101100001 is a deficient number, since it is larger than the sum of its proper divisors (143184167635999).

202001101100001 is a wasteful number, since it uses less digits than its factorization.

202001101100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44140 (or 44131 counting only the distinct ones).

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

Adding to 202001101100001 its reverse (100001101100202), we get a palindrome (302002202200203).

The spelling of 202001101100001 in words is "two hundred two trillion, one billion, one hundred one million, one hundred thousand, one".