100302121300000 has 288 divisors, whose sum is σ = 254980590197760. Its totient is φ = 38796585600000.

The previous prime is 100302121299931. The next prime is 100302121300027. The reversal of 100302121300000 is 3121203001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4237688166 + ... + 4237711834.

It is an arithmetic number, because the mean of its divisors is an integer number (885349271520).

Almost surely, 2^{100302121300000} is an apocalyptic number.

100302121300000 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 100302121300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127490295098880).

100302121300000 is an abundant number, since it is smaller than the sum of its proper divisors (154678468897760).

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

100302121300000 is an equidigital number, since it uses as much as digits as its factorization.

100302121300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25102 (or 25074 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100302121300000 its reverse (3121203001), we get a palindrome (100305242503001).

The spelling of 100302121300000 in words is "one hundred trillion, three hundred two billion, one hundred twenty-one million, three hundred thousand".