201001100120109 has 24 divisors (see below), whose sum is σ = 295249744020504. Its totient is φ = 131734665360000.

The previous prime is 201001100120083. The next prime is 201001100120113. The reversal of 201001100120109 is 901021001100102.

It is a happy number.

201001100120109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1573464166884 + 199427635953225 = 1254378^2 + 14121885^2 .

It is not a de Polignac number, because 201001100120109 - 2²⁷ = 201000965902381 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201001100120091 and 201001100120100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001100120179) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95253622 + ... + 97340919.

It is an arithmetic number, because the mean of its divisors is an integer number (12302072667521).

Almost surely, 2^{201001100120109} is an apocalyptic number.

It is an amenable number.

201001100120109 is a deficient number, since it is larger than the sum of its proper divisors (94248643900395).

201001100120109 is a wasteful number, since it uses less digits than its factorization.

201001100120109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192596509 (or 192596506 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 201001100120109 in words is "two hundred one trillion, one billion, one hundred million, one hundred twenty thousand, one hundred nine".