101334002004 has 36 divisors (see below), whose sum is σ = 256175124660. Its totient is φ = 33774666240.

The previous prime is 101334001981. The next prime is 101334002027. The reversal of 101334002004 is 400200433101.

It is an interprime number because it is at equal distance from previous prime (101334001981) and next prime (101334002027).

It can be written as a sum of positive squares in 2 ways, for example, as 91598233104 + 9735768900 = 302652^2 + 98670^2 .

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 (18).

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, 245374 + ... + 512714.

It is an arithmetic number, because the mean of its divisors is an integer number (7115975685).

Almost surely, 2^101334002004 is an apocalyptic number.

It is an amenable number.

101334002004 is an abundant number, since it is smaller than the sum of its proper divisors (154841122656).

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

101334002004 is a wasteful number, since it uses less digits than its factorization.

101334002004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277880 (or 277875 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 101334002004 its reverse (400200433101), we get a palindrome (501534435105).

The spelling of 101334002004 in words is "one hundred one billion, three hundred thirty-four million, two thousand, four".