103301222000 has 160 divisors (see below), whose sum is σ = 261834116544. Its totient is φ = 39373824000.

The previous prime is 103301221981. The next prime is 103301222051. The reversal of 103301222000 is 222103301.

It is a happy number.

It is a super-2 number, since 2×103301222000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3511352 + ... + 3540648.

Almost surely, 2^103301222000 is an apocalyptic number.

103301222000 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 103301222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130917058272).

103301222000 is an abundant number, since it is smaller than the sum of its proper divisors (158532894544).

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

103301222000 is a wasteful number, since it uses less digits than its factorization.

103301222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29404 (or 29388 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 103301222000 its reverse (222103301), we get a palindrome (103523325301).

It can be divided in two parts, 103 and 301222000, that added together give a palindrome (301222103).

The spelling of 103301222000 in words is "one hundred three billion, three hundred one million, two hundred twenty-two thousand".