100123331011000 has 256 divisors, whose sum is σ = 258320471310720. Its totient is φ = 36021173760000.

The previous prime is 100123331010991. The next prime is 100123331011111. The reversal of 100123331011000 is 110133321001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 402266590 + ... + 402515410.

Almost surely, 2^{100123331011000} is an apocalyptic number.

100123331011000 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 100123331011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129160235655360).

100123331011000 is an abundant number, since it is smaller than the sum of its proper divisors (158197140299720).

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

100123331011000 is a wasteful number, since it uses less digits than its factorization.

100123331011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249243 (or 249229 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100123331011000 its reverse (110133321001), we get a palindrome (100233464332001).

The spelling of 100123331011000 in words is "one hundred trillion, one hundred twenty-three billion, three hundred thirty-one million, eleven thousand".