101110220101127 has 2 divisors, whose sum is σ = 101110220101128. Its totient is φ = 101110220101126.

The previous prime is 101110220101087. The next prime is 101110220101193. The reversal of 101110220101127 is 721101022011101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101110220101127 - 2⁶ = 101110220101063 is a prime.

It is a super-2 number, since 2×101110220101127² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101110220101099 and 101110220101108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110220103127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555110050563 + 50555110050564.

It is an arithmetic number, because the mean of its divisors is an integer number (50555110050564).

Almost surely, 2^{101110220101127} is an apocalyptic number.

101110220101127 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110220101127 is an equidigital number, since it uses as much as digits as its factorization.

101110220101127 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 101110220101127 its reverse (721101022011101), we get a palindrome (822211242112228).

The spelling of 101110220101127 in words is "one hundred one trillion, one hundred ten billion, two hundred twenty million, one hundred one thousand, one hundred twenty-seven".