2101000210101 has 24 divisors (see below), whose sum is σ = 3460470937560. Its totient is φ = 1216868898816.

The previous prime is 2101000210093. The next prime is 2101000210123. The reversal of 2101000210101 is 1010120001012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 324113876100 + 1776886334001 = 569310^2 + 1332999^2 .

It is not a de Polignac number, because 2101000210101 - 2³ = 2101000210093 is a prime.

It is a super-3 number, since 3×2101000210101³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101000210801) 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 23 ways as a sum of consecutive naturals, for example, 528152916 + ... + 528156893.

It is an arithmetic number, because the mean of its divisors is an integer number (144186289065).

Almost surely, 2^{2101000210101} is an apocalyptic number.

It is an amenable number.

2101000210101 is a deficient number, since it is larger than the sum of its proper divisors (1359470727459).

2101000210101 is a wasteful number, since it uses less digits than its factorization.

2101000210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056309845 (or 1056309842 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2101000210101 its reverse (1010120001012), we get a palindrome (3111120211113).

The spelling of 2101000210101 in words is "two trillion, one hundred one billion, two hundred ten thousand, one hundred one".