100111010001000 has 768 divisors, whose sum is σ = 328571151667200. Its totient is φ = 25356215808000.

The previous prime is 100111010000941. The next prime is 100111010001007. The reversal of 100111010001000 is 100010111001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 100111010001000.

It is not an unprimeable number, because it can be changed into a prime (100111010001007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68056430265 + ... + 68056431735.

It is an arithmetic number, because the mean of its divisors is an integer number (427827020400).

Almost surely, 2^{100111010001000} is an apocalyptic number.

100111010001000 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 100111010001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164285575833600).

100111010001000 is an abundant number, since it is smaller than the sum of its proper divisors (228460141666200).

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

100111010001000 is a wasteful number, since it uses less digits than its factorization.

100111010001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100111010001000 its reverse (100010111001), we get a palindrome (100211020112001).

The spelling of 100111010001000 in words is "one hundred trillion, one hundred eleven billion, ten million, one thousand".