101103003120 has 80 divisors (see below), whose sum is σ = 358193502720. Its totient is φ = 23109257472.

The previous prime is 101103003119. The next prime is 101103003139. The reversal of 101103003120 is 21300301101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101103003096 and 101103003105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30088500 + ... + 30091859.

It is an arithmetic number, because the mean of its divisors is an integer number (4477418784).

Almost surely, 2^101103003120 is an apocalyptic number.

101103003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101103003120 is an abundant number, since it is smaller than the sum of its proper divisors (257090499600).

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

101103003120 is a wasteful number, since it uses less digits than its factorization.

101103003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60180382 (or 60180376 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101103003120 its reverse (21300301101), we get a palindrome (122403304221).

The spelling of 101103003120 in words is "one hundred one billion, one hundred three million, three thousand, one hundred twenty".