103022201133312 has 144 divisors (see below), whose sum is σ = 283067283448320. Its totient is φ = 33229073203200.

The previous prime is 103022201133311. The next prime is 103022201133317. The reversal of 103022201133312 is 213331102220301.

103022201133312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103022201133312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (103022201133311) 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, 206428014 + ... + 206926482.

Almost surely, 2^{103022201133312} is an apocalyptic number.

103022201133312 is a gapful number since it is divisible by the number (12) 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 103022201133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141533641724160).

103022201133312 is an abundant number, since it is smaller than the sum of its proper divisors (180045082315008).

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

103022201133312 is an equidigital number, since it uses as much as digits as its factorization.

103022201133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507200 (or 507186 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103022201133312 its reverse (213331102220301), we get a palindrome (316353303353613).

The spelling of 103022201133312 in words is "one hundred three trillion, twenty-two billion, two hundred one million, one hundred thirty-three thousand, three hundred twelve".