20121010211201 has 16 divisors (see below), whose sum is σ = 21466337763600. Its totient is φ = 18793733898240.

The previous prime is 20121010211191. The next prime is 20121010211261. The reversal of 20121010211201 is 10211201012102.

It can be written as a sum of positive squares in 8 ways, for example, as 59927529601 + 20061082681600 = 244801^2 + 4478960^2 .

It is not a de Polignac number, because 20121010211201 - 2¹⁰ = 20121010210177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20121010211261) 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, 6780281 + ... + 9285161.

It is an arithmetic number, because the mean of its divisors is an integer number (1341646110225).

Almost surely, 2^{20121010211201} is an apocalyptic number.

It is an amenable number.

20121010211201 is a deficient number, since it is larger than the sum of its proper divisors (1345327552399).

20121010211201 is a wasteful number, since it uses less digits than its factorization.

20121010211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508484.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20121010211201 its reverse (10211201012102), we get a palindrome (30332211223303).

The spelling of 20121010211201 in words is "twenty trillion, one hundred twenty-one billion, ten million, two hundred eleven thousand, two hundred one".