200202200102101 has 2 divisors, whose sum is σ = 200202200102102. Its totient is φ = 200202200102100.

The previous prime is 200202200102087. The next prime is 200202200102173. The reversal of 200202200102101 is 101201002202002.

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., 140717245504900 + 59484954597201 = 11862430^2 + 7712649^2 .

It is a cyclic number.

It is not a de Polignac number, because 200202200102101 - 2²³ = 200202191713493 is a prime.

It is a super-2 number, since 2×200202200102101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200202200102501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100101100051050 + 100101100051051.

It is an arithmetic number, because the mean of its divisors is an integer number (100101100051051).

Almost surely, 2^{200202200102101} is an apocalyptic number.

It is an amenable number.

200202200102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

200202200102101 is an equidigital number, since it uses as much as digits as its factorization.

200202200102101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200202200102101 its reverse (101201002202002), we get a palindrome (301403202304103).

The spelling of 200202200102101 in words is "two hundred trillion, two hundred two billion, two hundred million, one hundred two thousand, one hundred one".