101223116004 has 96 divisors (see below), whose sum is σ = 251117193600. Its totient is φ = 31674101760.

The previous prime is 101223115951. The next prime is 101223116023. The reversal of 101223116004 is 400611322101.

It is a super-2 number, since 2×101223116004² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30115284 + ... + 30118644.

It is an arithmetic number, because the mean of its divisors is an integer number (2615804100).

Almost surely, 2^101223116004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101223116004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125558596800).

101223116004 is an abundant number, since it is smaller than the sum of its proper divisors (149894077596).

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

101223116004 is a wasteful number, since it uses less digits than its factorization.

101223116004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5771 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101223116004 its reverse (400611322101), we get a palindrome (501834438105).

The spelling of 101223116004 in words is "one hundred one billion, two hundred twenty-three million, one hundred sixteen thousand, four".