100010020000 has 240 divisors, whose sum is σ = 271690306272. Its totient is φ = 35922560000.

The previous prime is 100010019979. The next prime is 100010020003. The reversal of 100010020000 is 20010001.

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

It is not an unprimeable number, because it can be changed into a prime (100010020003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18257262 + ... + 18262738.

Almost surely, 2^100010020000 is an apocalyptic number.

100010020000 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 100010020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135845153136).

100010020000 is an abundant number, since it is smaller than the sum of its proper divisors (171680286272).

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

100010020000 is an equidigital number, since it uses as much as digits as its factorization.

100010020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5601 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 100010020000 its reverse (20010001), we get a palindrome (100030030001).

Subtracting from 100010020000 its reverse (20010001), we obtain a palindrome (99990009999).

It can be divided in two parts, 1000100 and 20000, that added together give a square (1020100 = 1010²).

The spelling of 100010020000 in words is "one hundred billion, ten million, twenty thousand".