10112111101 has 2 divisors, whose sum is σ = 10112111102. Its totient is φ = 10112111100.

The previous prime is 10112111099. The next prime is 10112111129. The reversal of 10112111101 is 10111121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8834120100 + 1277991001 = 93990^2 + 35749^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112111101 - 2¹ = 10112111099 is a prime.

Together with 10112111099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112111131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056055550 + 5056055551.

It is an arithmetic number, because the mean of its divisors is an integer number (5056055551).

Almost surely, 2^10112111101 is an apocalyptic number.

It is an amenable number.

10112111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112111101 is an equidigital number, since it uses as much as digits as its factorization.

10112111101 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 10112111101 its reverse (10111121101), we get a palindrome (20223232202).

It can be divided in two parts, 1011 and 2111101, that added together give a palindrome (2112112).

The spelling of 10112111101 in words is "ten billion, one hundred twelve million, one hundred eleven thousand, one hundred one".