100123111320320 has 216 divisors, whose sum is σ = 266572503671040. Its totient is φ = 35999315968000.

The previous prime is 100123111320317. The next prime is 100123111320391. The reversal of 100123111320320 is 23023111321001.

It is a happy number.

It is a super-3 number, since 3×100123111320320³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100123111320292 and 100123111320301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10152545 + ... + 17416095.

It is an arithmetic number, because the mean of its divisors is an integer number (1234131961440).

Almost surely, 2^{100123111320320} is an apocalyptic number.

100123111320320 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 100123111320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133286251835520).

100123111320320 is an abundant number, since it is smaller than the sum of its proper divisors (166449392350720).

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

100123111320320 is an equidigital number, since it uses as much as digits as its factorization.

100123111320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7263683 (or 7263658 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 100123111320320 its reverse (23023111321001), we get a palindrome (123146222641321).

The spelling of 100123111320320 in words is "one hundred trillion, one hundred twenty-three billion, one hundred eleven million, three hundred twenty thousand, three hundred twenty".