101101100221123 has 16 divisors (see below), whose sum is σ = 107097178908384. Its totient is φ = 95110465190400.

The previous prime is 101101100221111. The next prime is 101101100221133. The reversal of 101101100221123 is 321122001101101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101101100221123 - 2⁹ = 101101100220611 is a prime.

It is a super-2 number, since 2×101101100221123² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101100221097 and 101101100221106.

It is not an unprimeable number, because it can be changed into a prime (101101100221133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 953757961 + ... + 953863957.

It is an arithmetic number, because the mean of its divisors is an integer number (6693573681774).

Almost surely, 2^{101101100221123} is an apocalyptic number.

101101100221123 is a deficient number, since it is larger than the sum of its proper divisors (5996078687261).

101101100221123 is a wasteful number, since it uses less digits than its factorization.

101101100221123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131142.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101101100221123 its reverse (321122001101101), we get a palindrome (422223101322224).

The spelling of 101101100221123 in words is "one hundred one trillion, one hundred one billion, one hundred million, two hundred twenty-one thousand, one hundred twenty-three".