100010200011000 has 256 divisors, whose sum is σ = 319805140636800. Its totient is φ = 26005663232000.

The previous prime is 100010200010971. The next prime is 100010200011019. The reversal of 100010200011000 is 110002010001.

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 100010200011000.

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, 242472946 + ... + 242885054.

Almost surely, 2^{100010200011000} is an apocalyptic number.

100010200011000 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 100010200011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159902570318400).

100010200011000 is an abundant number, since it is smaller than the sum of its proper divisors (219794940625800).

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

100010200011000 is a wasteful number, since it uses less digits than its factorization.

100010200011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414147 (or 414133 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100010200011000 its reverse (110002010001), we get a palindrome (100120202021001).

The spelling of 100010200011000 in words is "one hundred trillion, ten billion, two hundred million, eleven thousand".