100103211120 has 80 divisors (see below), whose sum is σ = 338530868352. Its totient is φ = 24267444480.

The previous prime is 100103211119. The next prime is 100103211127. The reversal of 100103211120 is 21112301001.

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 = 100103211096 and 100103211105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100103211127) by changing a digit.

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, 18956302 + ... + 18961581.

Almost surely, 2^100103211120 is an apocalyptic number.

100103211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100103211120 is an abundant number, since it is smaller than the sum of its proper divisors (238427657232).

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

100103211120 is a wasteful number, since it uses less digits than its factorization.

100103211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37917910 (or 37917904 counting only the distinct ones).

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

Adding to 100103211120 its reverse (21112301001), we get a palindrome (121215512121).

The spelling of 100103211120 in words is "one hundred billion, one hundred three million, two hundred eleven thousand, one hundred twenty".