100010000011000 has 128 divisors (see below), whose sum is σ = 234201643790400. Its totient is φ = 39973543948800.

The previous prime is 100010000010997. The next prime is 100010000011001. The reversal of 100010000011000 is 110000010001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010000011001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11195562534 + ... + 11195571466.

Almost surely, 2^{100010000011000} is an apocalyptic number.

100010000011000 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 100010000011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117100821895200).

100010000011000 is an abundant number, since it is smaller than the sum of its proper divisors (134191643779400).

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

100010000011000 is a wasteful number, since it uses less digits than its factorization.

100010000011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16226 (or 16212 counting only the distinct ones).

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

Adding to 100010000011000 its reverse (110000010001), we get a palindrome (100120000021001).

Subtracting from 100010000011000 its reverse (110000010001), we obtain a palindrome (99900000000999).

The spelling of 100010000011000 in words is "one hundred trillion, ten billion, eleven thousand".