20102100101101 has 16 divisors (see below), whose sum is σ = 21844850227200. Its totient is φ = 18427946007600.

The previous prime is 20102100100963. The next prime is 20102100101113. The reversal of 20102100101101 is 10110100120102.

It is a cyclic number.

It is not a de Polignac number, because 20102100101101 - 2³¹ = 20099952617453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102100101141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4288806 + ... + 7654936.

It is an arithmetic number, because the mean of its divisors is an integer number (1365303139200).

Almost surely, 2^{20102100101101} is an apocalyptic number.

It is an amenable number.

20102100101101 is a deficient number, since it is larger than the sum of its proper divisors (1742750126099).

20102100101101 is a wasteful number, since it uses less digits than its factorization.

20102100101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376320.

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

Adding to 20102100101101 its reverse (10110100120102), we get a palindrome (30212200221203).

The spelling of 20102100101101 in words is "twenty trillion, one hundred two billion, one hundred million, one hundred one thousand, one hundred one".