101110334004 has 18 divisors (see below), whose sum is σ = 255584455490. Its totient is φ = 33703444656.

The previous prime is 101110333993. The next prime is 101110334027. The reversal of 101110334004 is 400433011101.

It can be written as a sum of positive squares in only one way, i.e., 91598233104 + 9512100900 = 302652^2 + 97530^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×101110334004³ (a number of 34 digits) contains 333 as substring.

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 5 ways as a sum of consecutive naturals, for example, 1404310159 + ... + 1404310230.

Almost surely, 2^101110334004 is an apocalyptic number.

It is an amenable number.

101110334004 is an abundant number, since it is smaller than the sum of its proper divisors (154474121486).

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

101110334004 is a wasteful number, since it uses less digits than its factorization.

101110334004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808620399 (or 2808620394 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101110334004 its reverse (400433011101), we get a palindrome (501543345105).

The spelling of 101110334004 in words is "one hundred one billion, one hundred ten million, three hundred thirty-four thousand, four".