100502211412000 has 96 divisors (see below), whose sum is σ = 246990136302000. Its totient is φ = 40191734732800.

The previous prime is 100502211411967. The next prime is 100502211412007. The reversal of 100502211412000 is 214112205001.

It can be written as a sum of positive squares in 8 ways, for example, as 1775492290576 + 98726719121424 = 1332476^2 + 9936132^2 .

It is not an unprimeable number, because it can be changed into a prime (100502211412007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14730876 + ... + 20445124.

Almost surely, 2^{100502211412000} is an apocalyptic number.

100502211412000 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 100502211412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123495068151000).

100502211412000 is an abundant number, since it is smaller than the sum of its proper divisors (146487924890000).

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

100502211412000 is an equidigital number, since it uses as much as digits as its factorization.

100502211412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718671 (or 5718653 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 100502211412000 its reverse (214112205001), we get a palindrome (100716323617001).

The spelling of 100502211412000 in words is "one hundred trillion, five hundred two billion, two hundred eleven million, four hundred twelve thousand".