2102020200101 has 2 divisors, whose sum is σ = 2102020200102. Its totient is φ = 2102020200100.

The previous prime is 2102020200013. The next prime is 2102020200149. The reversal of 2102020200101 is 1010020202012.

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., 1348594464100 + 753425736001 = 1161290^2 + 868001^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102020200101 - 2¹⁰ = 2102020199077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102020200901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051010100050 + 1051010100051.

It is an arithmetic number, because the mean of its divisors is an integer number (1051010100051).

Almost surely, 2^{2102020200101} is an apocalyptic number.

It is an amenable number.

2102020200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102020200101 is an equidigital number, since it uses as much as digits as its factorization.

2102020200101 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 11.

Adding to 2102020200101 its reverse (1010020202012), we get a palindrome (3112040402113).

The spelling of 2102020200101 in words is "two trillion, one hundred two billion, twenty million, two hundred thousand, one hundred one".