101001000011004 has 36 divisors (see below), whose sum is σ = 257257000040040. Its totient is φ = 33410000002080.

The previous prime is 101001000010993. The next prime is 101001000011011. The reversal of 101001000011004 is 400110000100101.

101001000011004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10708328619 + ... + 10708338050.

It is an arithmetic number, because the mean of its divisors is an integer number (7146027778890).

Almost surely, 2^{101001000011004} is an apocalyptic number.

It is an amenable number.

101001000011004 is an abundant number, since it is smaller than the sum of its proper divisors (156256000029036).

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

101001000011004 is a wasteful number, since it uses less digits than its factorization.

101001000011004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21416666810 (or 21416666805 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101001000011004 its reverse (400110000100101), we get a palindrome (501111000111105).

The spelling of 101001000011004 in words is "one hundred one trillion, one billion, eleven thousand, four".