10012201120 has 96 divisors (see below), whose sum is σ = 24156731088. Its totient is φ = 3920560128.

The previous prime is 10012201109. The next prime is 10012201159. The reversal of 10012201120 is 2110221001.

It can be written as a sum of positive squares in 8 ways, for example, as 8223587856 + 1788613264 = 90684^2 + 42292^2 .

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 = 10012201097 and 10012201106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1597032 + ... + 1603288.

Almost surely, 2^10012201120 is an apocalyptic number.

10012201120 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 10012201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12078365544).

10012201120 is an abundant number, since it is smaller than the sum of its proper divisors (14144529968).

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

10012201120 is a wasteful number, since it uses less digits than its factorization.

10012201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482 (or 6474 counting only the distinct ones).

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

Adding to 10012201120 its reverse (2110221001), we get a palindrome (12122422121).

The spelling of 10012201120 in words is "ten billion, twelve million, two hundred one thousand, one hundred twenty".