101001000100 has 864 divisors, whose sum is σ = 324665470080. Its totient is φ = 26707968000.

The previous prime is 101001000097. The next prime is 101001000119. The reversal of 101001000100 is 1000100101.

101001000100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101001000100.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 726625831 + ... + 726625969.

It is an arithmetic number, because the mean of its divisors is an integer number (375770220).

Almost surely, 2^101001000100 is an apocalyptic number.

101001000100 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 101001000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162332735040).

101001000100 is an abundant number, since it is smaller than the sum of its proper divisors (223664469980).

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

101001000100 is a wasteful number, since it uses less digits than its factorization.

101001000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 255 counting only the distinct ones).

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

Adding to 101001000100 its reverse (1000100101), we get a palindrome (102001100201).

The spelling of 101001000100 in words is "one hundred one billion, one million, one hundred", and thus it is an aban number.