103202242221312 has 288 divisors, whose sum is σ = 328808622508800. Its totient is φ = 31740478414848.

The previous prime is 103202242221179. The next prime is 103202242221313. The reversal of 103202242221312 is 213122242202301.

103202242221312 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 0 + 22 + 422 + 213 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103202242221313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203630173 + ... + 204136355.

Almost surely, 2^{103202242221312} is an apocalyptic number.

103202242221312 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 103202242221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164404311254400).

103202242221312 is an abundant number, since it is smaller than the sum of its proper divisors (225606380287488).

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

103202242221312 is a wasteful number, since it uses less digits than its factorization.

103202242221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508490 (or 508470 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 103202242221312 its reverse (213122242202301), we get a palindrome (316324484423613).

The spelling of 103202242221312 in words is "one hundred three trillion, two hundred two billion, two hundred forty-two million, two hundred twenty-one thousand, three hundred twelve".