101011000100 has 18 divisors (see below), whose sum is σ = 219193870434. Its totient is φ = 40404400000.

The previous prime is 101010999997. The next prime is 101011000133. The reversal of 101011000100 is 1000110101.

It can be written as a sum of positive squares in 3 ways, for example, as 124724224 + 100886275876 = 11168^2 + 317626^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 505054901 + ... + 505055100.

Almost surely, 2^101011000100 is an apocalyptic number.

101011000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011000100 is an abundant number, since it is smaller than the sum of its proper divisors (118182870334).

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

101011000100 is a wasteful number, since it uses less digits than its factorization.

101011000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010110015 (or 1010110008 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101011000100 its reverse (1000110101), we get a palindrome (102011110201).

The spelling of 101011000100 in words is "one hundred one billion, eleven million, one hundred", and thus it is an aban number.