10201112233220 has 48 divisors (see below), whose sum is σ = 21635274307248. Its totient is φ = 4039888281600.

The previous prime is 10201112233199. The next prime is 10201112233223. The reversal of 10201112233220 is 2233221110201.

It can be written as a sum of positive squares in 8 ways, for example, as 576238882816 + 9624873350404 = 759104^2 + 3102398^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10201112233192 and 10201112233201.

It is not an unprimeable number, because it can be changed into a prime (10201112233223) 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, 61925684 + ... + 62090196.

It is an arithmetic number, because the mean of its divisors is an integer number (450734881401).

Almost surely, 2^{10201112233220} is an apocalyptic number.

10201112233220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201112233220 is an abundant number, since it is smaller than the sum of its proper divisors (11434162074028).

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

10201112233220 is a wasteful number, since it uses less digits than its factorization.

10201112233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195320 (or 195318 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10201112233220 its reverse (2233221110201), we get a palindrome (12434333343421).

The spelling of 10201112233220 in words is "ten trillion, two hundred one billion, one hundred twelve million, two hundred thirty-three thousand, two hundred twenty".