2120201000201 has 2 divisors, whose sum is σ = 2120201000202. Its totient is φ = 2120201000200.

The previous prime is 2120201000167. The next prime is 2120201000257. The reversal of 2120201000201 is 1020001020212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1788973125625 + 331227874576 = 1337525^2 + 575524^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120201000201 - 2¹⁸ = 2120200738057 is a prime.

It is a super-3 number, since 3×2120201000201³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2120201000501) 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 as a sum of consecutive naturals, namely, 1060100500100 + 1060100500101.

It is an arithmetic number, because the mean of its divisors is an integer number (1060100500101).

Almost surely, 2^{2120201000201} is an apocalyptic number.

It is an amenable number.

2120201000201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120201000201 is an equidigital number, since it uses as much as digits as its factorization.

2120201000201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2120201000201 its reverse (1020001020212), we get a palindrome (3140202020413).

The spelling of 2120201000201 in words is "two trillion, one hundred twenty billion, two hundred one million, two hundred one", and thus it is an aban number.