20100101101 has 2 divisors, whose sum is σ = 20100101102. Its totient is φ = 20100101100.

The previous prime is 20100101059. The next prime is 20100101117. The reversal of 20100101101 is 10110100102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14853271876 + 5246829225 = 121874^2 + 72435^2 .

It is a cyclic number.

It is not a de Polignac number, because 20100101101 - 2¹⁹ = 20099576813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20100101141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050050550 + 10050050551.

It is an arithmetic number, because the mean of its divisors is an integer number (10050050551).

Almost surely, 2^20100101101 is an apocalyptic number.

It is an amenable number.

20100101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20100101101 is an equidigital number, since it uses as much as digits as its factorization.

20100101101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 20100101101 its reverse (10110100102), we get a palindrome (30210201203).

Subtracting from 20100101101 its reverse (10110100102), we obtain a palindrome (9990000999).

The spelling of 20100101101 in words is "twenty billion, one hundred million, one hundred one thousand, one hundred one".