101100122112107 has 2 divisors, whose sum is σ = 101100122112108. Its totient is φ = 101100122112106.

The previous prime is 101100122112053. The next prime is 101100122112113. The reversal of 101100122112107 is 701211221001101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101100122112107 - 2⁶ = 101100122112043 is a prime.

It is not a weakly prime, because it can be changed into another prime (101100122112307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550061056053 + 50550061056054.

It is an arithmetic number, because the mean of its divisors is an integer number (50550061056054).

Almost surely, 2^{101100122112107} is an apocalyptic number.

101100122112107 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100122112107 is an equidigital number, since it uses as much as digits as its factorization.

101100122112107 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 20.

Adding to 101100122112107 its reverse (701211221001101), we get a palindrome (802311343113208).

The spelling of 101100122112107 in words is "one hundred one trillion, one hundred billion, one hundred twenty-two million, one hundred twelve thousand, one hundred seven".