2100101012101 has 12 divisors (see below), whose sum is σ = 2231819329828. Its totient is φ = 1975753930752.

The previous prime is 2100101012077. The next prime is 2100101012137. The reversal of 2100101012101 is 1012101010012.

It can be written as a sum of positive squares in 6 ways, for example, as 1214194629025 + 885906383076 = 1101905^2 + 941226^2 .

It is not a de Polignac number, because 2100101012101 - 2¹¹ = 2100101010053 is a prime.

It is a super-2 number, since 2×2100101012101² (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 (2100101019101) 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 11 ways as a sum of consecutive naturals, for example, 786636 + ... + 2195221.

Almost surely, 2^{2100101012101} is an apocalyptic number.

It is an amenable number.

2100101012101 is a deficient number, since it is larger than the sum of its proper divisors (131718317727).

2100101012101 is a wasteful number, since it uses less digits than its factorization.

2100101012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984328 (or 2984311 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2100101012101 its reverse (1012101010012), we get a palindrome (3112202022113).

The spelling of 2100101012101 in words is "two trillion, one hundred billion, one hundred one million, twelve thousand, one hundred one".