10001201120 has 96 divisors (see below), whose sum is σ = 24021204480. Its totient is φ = 3934425600.

The previous prime is 10001201011. The next prime is 10001201123. The reversal of 10001201120 is 2110210001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10001201098 and 10001201107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001201123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2486471 + ... + 2490489.

It is an arithmetic number, because the mean of its divisors is an integer number (250220880).

Almost surely, 2^10001201120 is an apocalyptic number.

10001201120 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 10001201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12010602240).

10001201120 is an abundant number, since it is smaller than the sum of its proper divisors (14020003360).

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

10001201120 is a wasteful number, since it uses less digits than its factorization.

10001201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10001201120 its reverse (2110210001), we get a palindrome (12111411121).

The spelling of 10001201120 in words is "ten billion, one million, two hundred one thousand, one hundred twenty".