2101010212101 has 16 divisors (see below), whose sum is σ = 2958962124800. Its totient is φ = 1323967422960.

The previous prime is 2101010212099. The next prime is 2101010212117. The reversal of 2101010212101 is 1012120101012.

It is not a de Polignac number, because 2101010212101 - 2¹ = 2101010212099 is a prime.

It is a super-2 number, since 2×2101010212101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101010212121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262687951 + ... + 262695948.

It is an arithmetic number, because the mean of its divisors is an integer number (184935132800).

Almost surely, 2^{2101010212101} is an apocalyptic number.

It is an amenable number.

2101010212101 is a deficient number, since it is larger than the sum of its proper divisors (857951912699).

2101010212101 is a wasteful number, since it uses less digits than its factorization.

2101010212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525383976.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2101010212101 its reverse (1012120101012), we get a palindrome (3113130313113).

The spelling of 2101010212101 in words is "two trillion, one hundred one billion, ten million, two hundred twelve thousand, one hundred one".