100311023120 has 240 divisors, whose sum is σ = 300128540544. Its totient is φ = 30502348800.

The previous prime is 100311023119. The next prime is 100311023179. The reversal of 100311023120 is 21320113001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100311023095 and 100311023104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2760107 + ... + 2796213.

Almost surely, 2^100311023120 is an apocalyptic number.

100311023120 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 100311023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150064270272).

100311023120 is an abundant number, since it is smaller than the sum of its proper divisors (199817517424).

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

100311023120 is a wasteful number, since it uses less digits than its factorization.

100311023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36190 (or 36173 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100311023120 its reverse (21320113001), we get a palindrome (121631136121).

The spelling of 100311023120 in words is "one hundred billion, three hundred eleven million, twenty-three thousand, one hundred twenty".