101103111104 has 112 divisors (see below), whose sum is σ = 209361024000. Its totient is φ = 48383462400.

The previous prime is 101103111101. The next prime is 101103111107. The reversal of 101103111104 is 401111301101.

It is a happy number.

101103111104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101103111101) and next prime (101103111107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101103111101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168786197 + ... + 168786795.

Almost surely, 2^101103111104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101103111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104680512000).

101103111104 is an abundant number, since it is smaller than the sum of its proper divisors (108257912896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101103111104 is a wasteful number, since it uses less digits than its factorization.

101103111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 101103111104 its reverse (401111301101), we get a palindrome (502214412205).

The spelling of 101103111104 in words is "one hundred one billion, one hundred three million, one hundred eleven thousand, one hundred four".