201002101011001 has 16 divisors (see below), whose sum is σ = 214896633735168. Its totient is φ = 187538909113600.

The previous prime is 201002101010983. The next prime is 201002101011073. The reversal of 201002101011001 is 100110101200102.

It is a cyclic number.

It is not a de Polignac number, because 201002101011001 - 2¹⁹ = 201002100486713 is a prime.

It is a super-2 number, since 2×201002101011001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201002101011401) 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, 14566105 + ... + 24782566.

It is an arithmetic number, because the mean of its divisors is an integer number (13431039608448).

Almost surely, 2^{201002101011001} is an apocalyptic number.

It is an amenable number.

201002101011001 is a deficient number, since it is larger than the sum of its proper divisors (13894532724167).

201002101011001 is a wasteful number, since it uses less digits than its factorization.

201002101011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39354152.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 201002101011001 its reverse (100110101200102), we get a palindrome (301112202211103).

The spelling of 201002101011001 in words is "two hundred one trillion, two billion, one hundred one million, eleven thousand, one".