201002200020101 has 2 divisors, whose sum is σ = 201002200020102. Its totient is φ = 201002200020100.

The previous prime is 201002200020077. The next prime is 201002200020119. The reversal of 201002200020101 is 101020002200102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 177326482327201 + 23675717692900 = 13316399^2 + 4865770^2 .

It is a cyclic number.

It is not a de Polignac number, because 201002200020101 - 2³⁴ = 200985020150917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201002200020301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100501100010050 + 100501100010051.

It is an arithmetic number, because the mean of its divisors is an integer number (100501100010051).

Almost surely, 2^{201002200020101} is an apocalyptic number.

It is an amenable number.

201002200020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

201002200020101 is an equidigital number, since it uses as much as digits as its factorization.

201002200020101 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 201002200020101 its reverse (101020002200102), we get a palindrome (302022202220203).

The spelling of 201002200020101 in words is "two hundred one trillion, two billion, two hundred million, twenty thousand, one hundred one".