100123311120 has 240 divisors, whose sum is σ = 376756064640. Its totient is φ = 21890254848.

The previous prime is 100123311023. The next prime is 100123311131. The reversal of 100123311120 is 21113321001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100123311120.

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, 85396 + ... + 455564.

It is an arithmetic number, because the mean of its divisors is an integer number (1569816936).

Almost surely, 2^100123311120 is an apocalyptic number.

100123311120 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 100123311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188378032320).

100123311120 is an abundant number, since it is smaller than the sum of its proper divisors (276632753520).

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

100123311120 is a wasteful number, since it uses less digits than its factorization.

100123311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370222 (or 370209 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100123311120 its reverse (21113321001), we get a palindrome (121236632121).

The spelling of 100123311120 in words is "one hundred billion, one hundred twenty-three million, three hundred eleven thousand, one hundred twenty".