2102000101101 has 12 divisors (see below), whose sum is σ = 3037576040928. Its totient is φ = 1400708628744.

The previous prime is 2102000101051. The next prime is 2102000101153. The reversal of 2102000101101 is 1011010002012.

It is a happy number.

It is not a de Polignac number, because 2102000101101 - 2⁶ = 2102000101037 is a prime.

It is a super-2 number, since 2×2102000101101² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102000108101) 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, 52043025 + ... + 52083398.

It is an arithmetic number, because the mean of its divisors is an integer number (253131336744).

Almost surely, 2^{2102000101101} is an apocalyptic number.

It is an amenable number.

2102000101101 is a deficient number, since it is larger than the sum of its proper divisors (935575939827).

2102000101101 is a wasteful number, since it uses less digits than its factorization.

2102000101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104128672 (or 104128669 counting only the distinct ones).

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

Adding to 2102000101101 its reverse (1011010002012), we get a palindrome (3113010103113).

The spelling of 2102000101101 in words is "two trillion, one hundred two billion, one hundred one thousand, one hundred one".