2101020202101 has 16 divisors (see below), whose sum is σ = 2976701868288. Its totient is φ = 1313595763200.

The previous prime is 2101020202087. The next prime is 2101020202111. The reversal of 2101020202101 is 1012020201012.

It is not a de Polignac number, because 2101020202101 - 2⁵ = 2101020202069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101020202111) 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, 73289005 + ... + 73317666.

It is an arithmetic number, because the mean of its divisors is an integer number (186043866768).

Almost surely, 2^{2101020202101} is an apocalyptic number.

It is an amenable number.

2101020202101 is a deficient number, since it is larger than the sum of its proper divisors (875681666187).

2101020202101 is a wasteful number, since it uses less digits than its factorization.

2101020202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146606972.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2101020202101 its reverse (1012020201012), we get a palindrome (3113040403113).

The spelling of 2101020202101 in words is "two trillion, one hundred one billion, twenty million, two hundred two thousand, one hundred one".