100312001212020 has 192 divisors, whose sum is σ = 304996034273280. Its totient is φ = 24486906673152.

The previous prime is 100312001212019. The next prime is 100312001212051. The reversal of 100312001212020 is 20212100213001.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224543994 + ... + 224990286.

It is an arithmetic number, because the mean of its divisors is an integer number (1588521011840).

Almost surely, 2^{100312001212020} is an apocalyptic number.

100312001212020 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 100312001212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152498017136640).

100312001212020 is an abundant number, since it is smaller than the sum of its proper divisors (204684033061260).

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

100312001212020 is a wasteful number, since it uses less digits than its factorization.

100312001212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448714 (or 448712 counting only the distinct ones).

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

Adding to 100312001212020 its reverse (20212100213001), we get a palindrome (120524101425021).

The spelling of 100312001212020 in words is "one hundred trillion, three hundred twelve billion, one million, two hundred twelve thousand, twenty".