20121010100201 has 8 divisors (see below), whose sum is σ = 20168816795400. Its totient is φ = 20073209571072.

The previous prime is 20121010100143. The next prime is 20121010100227. The reversal of 20121010100201 is 10200101012102.

It can be written as a sum of positive squares in 4 ways, for example, as 733729296400 + 19387280803801 = 856580^2 + 4403099^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20121010100201 - 2⁶ = 20121010100137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20121010100251) 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 7 ways as a sum of consecutive naturals, for example, 5025791 + ... + 8093243.

It is an arithmetic number, because the mean of its divisors is an integer number (2521102099425).

Almost surely, 2^{20121010100201} is an apocalyptic number.

It is an amenable number.

20121010100201 is a deficient number, since it is larger than the sum of its proper divisors (47806695199).

20121010100201 is a wasteful number, since it uses less digits than its factorization.

20121010100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083035.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20121010100201 its reverse (10200101012102), we get a palindrome (30321111112303).

The spelling of 20121010100201 in words is "twenty trillion, one hundred twenty-one billion, ten million, one hundred thousand, two hundred one".