101200021120 has 128 divisors (see below), whose sum is σ = 266005555200. Its totient is φ = 36509921280.

The previous prime is 101200021099. The next prime is 101200021151. The reversal of 101200021120 is 21120002101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101200021097 and 101200021106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 837486 + ... + 950674.

It is an arithmetic number, because the mean of its divisors is an integer number (2078168400).

Almost surely, 2^101200021120 is an apocalyptic number.

101200021120 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 101200021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133002777600).

101200021120 is an abundant number, since it is smaller than the sum of its proper divisors (164805534080).

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

101200021120 is a wasteful number, since it uses less digits than its factorization.

101200021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113346 (or 113334 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101200021120 its reverse (21120002101), we get a palindrome (122320023221).

The spelling of 101200021120 in words is "one hundred one billion, two hundred million, twenty-one thousand, one hundred twenty".