101100223120 has 160 divisors (see below), whose sum is σ = 263627126784. Its totient is φ = 35804160000.

The previous prime is 101100223117. The next prime is 101100223153. The reversal of 101100223120 is 21322001101.

It is a super-2 number, since 2×101100223120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 101100223120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3629245 + ... + 3656995.

Almost surely, 2^101100223120 is an apocalyptic number.

101100223120 is a gapful number since it is divisible by the number (10) 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 101100223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131813563392).

101100223120 is an abundant number, since it is smaller than the sum of its proper divisors (162526903664).

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

101100223120 is a wasteful number, since it uses less digits than its factorization.

101100223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27921 (or 27915 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101100223120 its reverse (21322001101), we get a palindrome (122422224221).

The spelling of 101100223120 in words is "one hundred one billion, one hundred million, two hundred twenty-three thousand, one hundred twenty".