2102020020101 has 16 divisors (see below), whose sum is σ = 2270338329600. Its totient is φ = 1940191131648.

The previous prime is 2102020020083. The next prime is 2102020020127. The reversal of 2102020020101 is 1010200202012.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2102020020101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102020020131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277445 + ... + 2069061.

It is an arithmetic number, because the mean of its divisors is an integer number (141896145600).

Almost surely, 2^{2102020020101} is an apocalyptic number.

It is an amenable number.

2102020020101 is a deficient number, since it is larger than the sum of its proper divisors (168318309499).

2102020020101 is a wasteful number, since it uses less digits than its factorization.

2102020020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793428.

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

Adding to 2102020020101 its reverse (1010200202012), we get a palindrome (3112220222113).

The spelling of 2102020020101 in words is "two trillion, one hundred two billion, twenty million, twenty thousand, one hundred one".