20100101100101 has 8 divisors (see below), whose sum is σ = 22048528783008. Its totient is φ = 18171864378000.

The previous prime is 20100101100011. The next prime is 20100101100103. The reversal of 20100101100101 is 10100110100102.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20100101100101 - 2¹⁴ = 20100101083717 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 (20100101100103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5047738115 + ... + 5047742096.

It is an arithmetic number, because the mean of its divisors is an integer number (2756066097876).

Almost surely, 2^{20100101100101} is an apocalyptic number.

It is an amenable number.

20100101100101 is a deficient number, since it is larger than the sum of its proper divisors (1948427682907).

20100101100101 is a wasteful number, since it uses less digits than its factorization.

20100101100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10095480403.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 20100101100101 its reverse (10100110100102), we get a palindrome (30200211200203).

Subtracting from 20100101100101 its reverse (10100110100102), we obtain a palindrome (9999990999999).

It can be divided in two parts, 20100101 and 100101, that added together give a palindrome (20200202).

The spelling of 20100101100101 in words is "twenty trillion, one hundred billion, one hundred one million, one hundred thousand, one hundred one".