100301211120 has 160 divisors (see below), whose sum is σ = 339856176384. Its totient is φ = 24268441600.

The previous prime is 100301211119. The next prime is 100301211161. The reversal of 100301211120 is 21112103001.

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 = 100301211096 and 100301211105.

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 31 ways as a sum of consecutive naturals, for example, 1338979 + ... + 1411901.

Almost surely, 2^100301211120 is an apocalyptic number.

100301211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100301211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169928088192).

100301211120 is an abundant number, since it is smaller than the sum of its proper divisors (239554965264).

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

100301211120 is a wasteful number, since it uses less digits than its factorization.

100301211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73471 (or 73465 counting only the distinct ones).

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

Adding to 100301211120 its reverse (21112103001), we get a palindrome (121413314121).

The spelling of 100301211120 in words is "one hundred billion, three hundred one million, two hundred eleven thousand, one hundred twenty".