201002020010001 has 96 divisors (see below), whose sum is σ = 338673871650816. Its totient is φ = 112503272112000.

The previous prime is 201002020009997. The next prime is 201002020010009. The reversal of 201002020010001 is 100010020200102.

It is not a de Polignac number, because 201002020010001 - 2² = 201002020009997 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (201002020010009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1919536036 + ... + 1919640746.

It is an arithmetic number, because the mean of its divisors is an integer number (3527852829696).

Almost surely, 2^{201002020010001} is an apocalyptic number.

201002020010001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201002020010001 is a deficient number, since it is larger than the sum of its proper divisors (137671851640815).

201002020010001 is a wasteful number, since it uses less digits than its factorization.

201002020010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107363 (or 107360 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201002020010001 its reverse (100010020200102), we get a palindrome (301012040210103).

The spelling of 201002020010001 in words is "two hundred one trillion, two billion, twenty million, ten thousand, one".