100010001000100 has 144 divisors (see below), whose sum is σ = 234635759881488. Its totient is φ = 36863994101760.

The previous prime is 100010001000023. The next prime is 100010001000103. The reversal of 100010001000100 is 1000100010001.

It can be written as a sum of positive squares in 24 ways, for example, as 27671029626276 + 72338971373824 = 5260326^2 + 8505232^2 .

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

100010001000100 is a modest number, since divided by 10001000100 gives 100 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 100010001000100.

It is not an unprimeable number, because it can be changed into a prime (100010001000103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14060524 + ... + 19942876.

It is an arithmetic number, because the mean of its divisors is an integer number (1629414999177).

Almost surely, 2^{100010001000100} is an apocalyptic number.

100010001000100 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 100010001000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117317879940744).

100010001000100 is an abundant number, since it is smaller than the sum of its proper divisors (134625758881388).

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

100010001000100 is a wasteful number, since it uses less digits than its factorization.

100010001000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882594 (or 5882587 counting only the distinct ones).

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

Adding to 100010001000100 its reverse (1000100010001), we get a palindrome (101010101010101).

Subtracting from 100010001000100 its reverse (1000100010001), we obtain a palindrome (99009900990099).

100010001000100 divided by its reverse (1000100010001) gives a square (100 = 10²).

The spelling of 100010001000100 in words is "one hundred trillion, ten billion, one million, one hundred", and thus it is an aban number.