20110102110101 has 2 divisors, whose sum is σ = 20110102110102. Its totient is φ = 20110102110100.

The previous prime is 20110102110041. The next prime is 20110102110179. The reversal of 20110102110101 is 10101120101102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19920377400625 + 189724709476 = 4463225^2 + 435574^2 .

It is a cyclic number.

It is not a de Polignac number, because 20110102110101 - 2²⁶ = 20110035001237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20110102110191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10055051055050 + 10055051055051.

It is an arithmetic number, because the mean of its divisors is an integer number (10055051055051).

Almost surely, 2^{20110102110101} is an apocalyptic number.

It is an amenable number.

20110102110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

20110102110101 is an equidigital number, since it uses as much as digits as its factorization.

20110102110101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 20110102110101 its reverse (10101120101102), we get a palindrome (30211222211203).

The spelling of 20110102110101 in words is "twenty trillion, one hundred ten billion, one hundred two million, one hundred ten thousand, one hundred one".