100100001001000 has 512 divisors, whose sum is σ = 332995824645120. Its totient is φ = 27105878016000.

The previous prime is 100100001000971. The next prime is 100100001001043. The reversal of 100100001001000 is 100100001001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14075824 + ... + 19958176.

It is an arithmetic number, because the mean of its divisors is an integer number (650382470010).

Almost surely, 2^{100100001001000} is an apocalyptic number.

100100001001000 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 100100001001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166497912322560).

100100001001000 is an abundant number, since it is smaller than the sum of its proper divisors (232895823644120).

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

100100001001000 is a wasteful number, since it uses less digits than its factorization.

100100001001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882422 (or 5882408 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100100001001000 its reverse (100100001001), we get a palindrome (100200101002001).

Subtracting from 100100001001000 its reverse (100100001001), we obtain a palindrome (99999900999999).

100100001001000 divided by its reverse (100100001001) gives a cube (1000 = 10³).

The spelling of 100100001001000 in words is "one hundred trillion, one hundred billion, one million, one thousand".