10120111101101 has 2 divisors, whose sum is σ = 10120111101102. Its totient is φ = 10120111101100.

The previous prime is 10120111101097. The next prime is 10120111101103. The reversal of 10120111101101 is 10110111102101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10105500577225 + 14610523876 = 3178915^2 + 120874^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120111101101 - 2² = 10120111101097 is a prime.

Together with 10120111101103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10120111101103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060055550550 + 5060055550551.

It is an arithmetic number, because the mean of its divisors is an integer number (5060055550551).

Almost surely, 2^{10120111101101} is an apocalyptic number.

It is an amenable number.

10120111101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120111101101 is an equidigital number, since it uses as much as digits as its factorization.

10120111101101 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 11.

Adding to 10120111101101 its reverse (10110111102101), we get a palindrome (20230222203202).

It can be divided in two parts, 1012011 and 1101101, that added together give a palindrome (2113112).

The spelling of 10120111101101 in words is "ten trillion, one hundred twenty billion, one hundred eleven million, one hundred one thousand, one hundred one".