20101202011201 has 2 divisors, whose sum is σ = 20101202011202. Its totient is φ = 20101202011200.

The previous prime is 20101202011183. The next prime is 20101202011213. The reversal of 20101202011201 is 10211020210102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17478586947600 + 2622615063601 = 4180740^2 + 1619449^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101202011201 - 2⁵ = 20101202011169 is a prime.

It is a super-3 number, since 3×20101202011201³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (20101202017201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050601005600 + 10050601005601.

It is an arithmetic number, because the mean of its divisors is an integer number (10050601005601).

Almost surely, 2^{20101202011201} is an apocalyptic number.

It is an amenable number.

20101202011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101202011201 is an equidigital number, since it uses as much as digits as its factorization.

20101202011201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20101202011201 its reverse (10211020210102), we get a palindrome (30312222221303).

The spelling of 20101202011201 in words is "twenty trillion, one hundred one billion, two hundred two million, eleven thousand, two hundred one".