10000100100100 has 144 divisors (see below), whose sum is σ = 24937025803200. Its totient is φ = 3442506048000.

The previous prime is 10000100100091. The next prime is 10000100100113. The reversal of 10000100100100 is 100100100001.

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

10000100100100 is a modest number, since divided by 100100100 gives 10000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 10000100100100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28689666 + ... + 29036134.

It is an arithmetic number, because the mean of its divisors is an integer number (173173790300).

Almost surely, 2^{10000100100100} is an apocalyptic number.

10000100100100 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 10000100100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12468512901600).

10000100100100 is an abundant number, since it is smaller than the sum of its proper divisors (14936925703100).

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

10000100100100 is a wasteful number, since it uses less digits than its factorization.

10000100100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347894 (or 347887 counting only the distinct ones).

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

Adding to 10000100100100 its reverse (100100100001), we get a palindrome (10100200200101).

Subtracting from 10000100100100 its reverse (100100100001), we obtain a palindrome (9900000000099).

The spelling of 10000100100100 in words is "ten trillion, one hundred million, one hundred thousand, one hundred".