101334020004 has 144 divisors (see below), whose sum is σ = 303871870848. Its totient is φ = 28925227008.

The previous prime is 101334020003. The next prime is 101334020027. The reversal of 101334020004 is 400020433101.

It is a super-2 number, since 2×101334020004² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101334020003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7838554 + ... + 7851470.

Almost surely, 2^101334020004 is an apocalyptic number.

101334020004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101334020004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151935935424).

101334020004 is an abundant number, since it is smaller than the sum of its proper divisors (202537850844).

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

101334020004 is a wasteful number, since it uses less digits than its factorization.

101334020004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14096 (or 14082 counting only the distinct ones).

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

Adding to 101334020004 its reverse (400020433101), we get a palindrome (501354453105).

The spelling of 101334020004 in words is "one hundred one billion, three hundred thirty-four million, twenty thousand, four".