201321101009 has 16 divisors (see below), whose sum is σ = 235193370240. Its totient is φ = 168757171200.

The previous prime is 201321100991. The next prime is 201321101029. The reversal of 201321101009 is 900101123102.

It is a cyclic number.

It is not a de Polignac number, because 201321101009 - 2⁸ = 201321100753 is a prime.

It is a super-2 number, since 2×201321101009² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201321101029) 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 15 ways as a sum of consecutive naturals, for example, 1183142 + ... + 1342559.

It is an arithmetic number, because the mean of its divisors is an integer number (14699585640).

Almost surely, 2^201321101009 is an apocalyptic number.

It is an amenable number.

201321101009 is a deficient number, since it is larger than the sum of its proper divisors (33872269231).

201321101009 is a wasteful number, since it uses less digits than its factorization.

201321101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525960.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 201321101009 in words is "two hundred one billion, three hundred twenty-one million, one hundred one thousand, nine".