103212101202000 has 640 divisors, whose sum is σ = 391007069945856. Its totient is φ = 22930905600000.

The previous prime is 103212101201987. The next prime is 103212101202037. The reversal of 103212101202000 is 202101212301.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 127 ways as a sum of consecutive naturals, for example, 466551415 + ... + 466772585.

Almost surely, 2^{103212101202000} is an apocalyptic number.

103212101202000 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 103212101202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195503534972928).

103212101202000 is an abundant number, since it is smaller than the sum of its proper divisors (287794968743856).

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

103212101202000 is a wasteful number, since it uses less digits than its factorization.

103212101202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221516 (or 221500 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 103212101202000 its reverse (202101212301), we get a palindrome (103414202414301).

The spelling of 103212101202000 in words is "one hundred three trillion, two hundred twelve billion, one hundred one million, two hundred two thousand".