10000100001000 has 256 divisors, whose sum is σ = 33077238405120. Its totient is φ = 2510922240000.

The previous prime is 10000100000887. The next prime is 10000100001079. The reversal of 10000100001000 is 10000100001.

It is a Harshad number since it is a multiple of its sum of digits (3).

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

10000100001000 is a modest number, since divided by 100001000 gives 1000 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1987920 + ... + 4894080.

It is an arithmetic number, because the mean of its divisors is an integer number (129207962520).

Almost surely, 2^{10000100001000} is an apocalyptic number.

10000100001000 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 10000100001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16538619202560).

10000100001000 is an abundant number, since it is smaller than the sum of its proper divisors (23077138404120).

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

10000100001000 is a wasteful number, since it uses less digits than its factorization.

10000100001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906253 (or 2906239 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 10000100001000 its reverse (10000100001), we get a palindrome (10010100101001).

Subtracting from 10000100001000 its reverse (10000100001), we obtain a palindrome (9990099900999).

10000100001000 divided by its reverse (10000100001) gives a cube (1000 = 10³).

The spelling of 10000100001000 in words is "ten trillion, one hundred million, one thousand".