201001201010020 has 12 divisors (see below), whose sum is σ = 422102522121084. Its totient is φ = 80400480404000.

The previous prime is 201001201010009. The next prime is 201001201010059. The reversal of 201001201010020 is 20010102100102.

It can be written as a sum of positive squares in 2 ways, for example, as 35520145774884 + 165481055235136 = 5959878^2 + 12863944^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 201001201009979 and 201001201010006.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5025030025231 + ... + 5025030025270.

It is an arithmetic number, because the mean of its divisors is an integer number (35175210176757).

Almost surely, 2^{201001201010020} is an apocalyptic number.

201001201010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001201010020 is an abundant number, since it is smaller than the sum of its proper divisors (221101321111064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201001201010020 is a wasteful number, since it uses less digits than its factorization.

201001201010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10050060050510 (or 10050060050508 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201001201010020 its reverse (20010102100102), we get a palindrome (221011303110122).

The spelling of 201001201010020 in words is "two hundred one trillion, one billion, two hundred one million, ten thousand, twenty".