10202221120 has 112 divisors (see below), whose sum is σ = 29900441088. Its totient is φ = 3228825600.

The previous prime is 10202221103. The next prime is 10202221123. The reversal of 10202221120 is 2112220201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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 10202221120.

It is not an unprimeable number, because it can be changed into a prime (10202221123) 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, 146056 + ... + 204295.

It is an arithmetic number, because the mean of its divisors is an integer number (266968224).

Almost surely, 2^10202221120 is an apocalyptic number.

10202221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202221120 is an abundant number, since it is smaller than the sum of its proper divisors (19698219968).

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

10202221120 is a wasteful number, since it uses less digits than its factorization.

10202221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350388 (or 350378 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10202221120 its reverse (2112220201), we get a palindrome (12314441321).

The spelling of 10202221120 in words is "ten billion, two hundred two million, two hundred twenty-one thousand, one hundred twenty".