101001010000004 has 24 divisors (see below), whose sum is σ = 183118345115160. Its totient is φ = 48686657854464.

The previous prime is 101001009999983. The next prime is 101001010000049. The reversal of 101001010000004 is 400000010100101.

101001010000004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16106015032900 + 84894994967104 = 4013230^2 + 9213848^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101001009999946 and 101001010000000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 646800359 + ... + 646956494.

It is an arithmetic number, because the mean of its divisors is an integer number (7629931046465).

Almost surely, 2^{101001010000004} is an apocalyptic number.

It is an amenable number.

101001010000004 is a deficient number, since it is larger than the sum of its proper divisors (82117335115156).

101001010000004 is a wasteful number, since it uses less digits than its factorization.

101001010000004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293757559 (or 1293757557 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101001010000004 its reverse (400000010100101), we get a palindrome (501001020100105).

The spelling of 101001010000004 in words is "one hundred one trillion, one billion, ten million, four", and thus it is an aban number.