20111101010101 has 2 divisors, whose sum is σ = 20111101010102. Its totient is φ = 20111101010100.

The previous prime is 20111101010059. The next prime is 20111101010123. The reversal of 20111101010101 is 10101010111102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20110785095025 + 315915076 = 4484505^2 + 17774^2 .

It is a cyclic number.

It is not a de Polignac number, because 20111101010101 - 2¹⁹ = 20111100485813 is a prime.

20111101010101 is a modest number, since divided by 1010101 gives 201111 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20111101010191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10055550505050 + 10055550505051.

It is an arithmetic number, because the mean of its divisors is an integer number (10055550505051).

Almost surely, 2^{20111101010101} is an apocalyptic number.

It is an amenable number.

20111101010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20111101010101 is an equidigital number, since it uses as much as digits as its factorization.

20111101010101 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 10.

Adding to 20111101010101 its reverse (10101010111102), we get a palindrome (30212111121203).

The spelling of 20111101010101 in words is "twenty trillion, one hundred eleven billion, one hundred one million, ten thousand, one hundred one".