101000112107 has 2 divisors, whose sum is σ = 101000112108. Its totient is φ = 101000112106.

The previous prime is 101000112091. The next prime is 101000112127. The reversal of 101000112107 is 701211000101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101000112107 - 2⁴ = 101000112091 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000112091 and 101000112100.

It is not a weakly prime, because it can be changed into another prime (101000112127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500056053 + 50500056054.

It is an arithmetic number, because the mean of its divisors is an integer number (50500056054).

Almost surely, 2^101000112107 is an apocalyptic number.

101000112107 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000112107 is an equidigital number, since it uses as much as digits as its factorization.

101000112107 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14, while the sum is 14.

Adding to 101000112107 its reverse (701211000101), we get a palindrome (802211112208).

The spelling of 101000112107 in words is "one hundred one billion, one hundred twelve thousand, one hundred seven".