1100101220123 has 16 divisors (see below), whose sum is σ = 1195422412800. Its totient is φ = 1008525867840.

The previous prime is 1100101220087. The next prime is 1100101220149. The reversal of 1100101220123 is 3210221010011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1100101220123 is a prime.

It is a super-2 number, since 2×1100101220123² (a number of 25 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 = 1100101220098 and 1100101220107.

It is not an unprimeable number, because it can be changed into a prime (1100101220623) 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, 13671215 + ... + 13751447.

It is an arithmetic number, because the mean of its divisors is an integer number (74713900800).

Almost surely, 2^{1100101220123} is an apocalyptic number.

1100101220123 is a deficient number, since it is larger than the sum of its proper divisors (95321192677).

1100101220123 is a wasteful number, since it uses less digits than its factorization.

1100101220123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103562.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1100101220123 its reverse (3210221010011), we get a palindrome (4310322230134).

The spelling of 1100101220123 in words is "one trillion, one hundred billion, one hundred one million, two hundred twenty thousand, one hundred twenty-three".