100021311120 has 80 divisors (see below), whose sum is σ = 310098902400. Its totient is φ = 26669524992.

The previous prime is 100021311119. The next prime is 100021311161. The reversal of 100021311120 is 21113120001.

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 = 100021311096 and 100021311105.

It is an unprimeable number.

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, 3269656 + ... + 3300104.

It is an arithmetic number, because the mean of its divisors is an integer number (3876236280).

Almost surely, 2^100021311120 is an apocalyptic number.

100021311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021311120 is an abundant number, since it is smaller than the sum of its proper divisors (210077591280).

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

100021311120 is a wasteful number, since it uses less digits than its factorization.

100021311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44152 (or 44146 counting only the distinct ones).

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

Adding to 100021311120 its reverse (21113120001), we get a palindrome (121134431121).

The spelling of 100021311120 in words is "one hundred billion, twenty-one million, three hundred eleven thousand, one hundred twenty".