103215200000000 has 864 divisors, whose sum is σ = 289945046860560. Its totient is φ = 36403200000000.

The previous prime is 103215199999927. The next prime is 103215200000027. The reversal of 103215200000000 is 2512301.

It is a happy number.

It is a super-2 number, since 2×103215200000000² (a number of 29 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 (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 325599999842 + ... + 325600000158.

Almost surely, 2^{103215200000000} is an apocalyptic number.

103215200000000 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 103215200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144972523430280).

103215200000000 is an abundant number, since it is smaller than the sum of its proper divisors (186729846860560).

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

103215200000000 is an frugal number, since it uses more digits than its factorization.

103215200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 103215200000000 its reverse (2512301), we get a palindrome (103215202512301).

The spelling of 103215200000000 in words is "one hundred three trillion, two hundred fifteen billion, two hundred million", and thus it is an aban number.