101100112103 has 2 divisors, whose sum is σ = 101100112104. Its totient is φ = 101100112102.

The previous prime is 101100112097. The next prime is 101100112147. The reversal of 101100112103 is 301211001101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101100112103 - 2³⁶ = 32380635367 is a prime.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100112153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550056051 + 50550056052.

It is an arithmetic number, because the mean of its divisors is an integer number (50550056052).

Almost surely, 2^101100112103 is an apocalyptic number.

101100112103 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100112103 is an equidigital number, since it uses as much as digits as its factorization.

101100112103 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101100112103 its reverse (301211001101), we get a palindrome (402311113204).

The spelling of 101100112103 in words is "one hundred one billion, one hundred million, one hundred twelve thousand, one hundred three".