103112101 has 2 divisors, whose sum is σ = 103112102. Its totient is φ = 103112100.

The previous prime is 103112099. The next prime is 103112111. The reversal of 103112101 is 101211301.

It is an a-pointer prime, because the next prime (103112111) can be obtained adding 103112101 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71740900 + 31371201 = 8470^2 + 5601^2 .

It is a cyclic number.

It is not a de Polignac number, because 103112101 - 2¹ = 103112099 is a prime.

Together with 103112099, 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 (103112111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51556050 + 51556051.

It is an arithmetic number, because the mean of its divisors is an integer number (51556051).

Almost surely, 2^103112101 is an apocalyptic number.

It is an amenable number.

103112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

103112101 is an equidigital number, since it uses as much as digits as its factorization.

103112101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 103112101 is about 10154.4128830770. The cubic root of 103112101 is about 468.9248109833.

Adding to 103112101 its reverse (101211301), we get a palindrome (204323402).

The spelling of 103112101 in words is "one hundred three million, one hundred twelve thousand, one hundred one".