101101121201223 has 48 divisors (see below), whose sum is σ = 171576676602240. Its totient is φ = 56556396072000.

The previous prime is 101101121201123. The next prime is 101101121201281. The reversal of 101101121201223 is 322102121101101.

It is a happy number.

101101121201223 is a `hidden beast` number, since 10 + 110 + 1 + 121 + 201 + 223 = 666.

It is not a de Polignac number, because 101101121201223 - 2⁸ = 101101121200967 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101101121201196 and 101101121201205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101121201123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17343348 + ... + 22427526.

It is an arithmetic number, because the mean of its divisors is an integer number (3574514095880).

Almost surely, 2^{101101121201223} is an apocalyptic number.

101101121201223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101101121201223 is a deficient number, since it is larger than the sum of its proper divisors (70475555401017).

101101121201223 is a wasteful number, since it uses less digits than its factorization.

101101121201223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099660 (or 5099657 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101101121201223 its reverse (322102121101101), we get a palindrome (423203242302324).

The spelling of 101101121201223 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-one million, two hundred one thousand, two hundred twenty-three".