100302111304020 has 144 divisors (see below), whose sum is σ = 315642553961280. Its totient is φ = 26736691838976.

The previous prime is 100302111304013. The next prime is 100302111304037. The reversal of 100302111304020 is 20403111203001.

100302111304020 is a `hidden beast` number, since 10 + 0 + 30 + 211 + 13 + 0 + 402 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100302111303984 and 100302111304002.

It is a congruent number.

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, 8275284 + ... + 16403796.

Almost surely, 2^{100302111304020} is an apocalyptic number.

100302111304020 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 100302111304020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157821276980640).

100302111304020 is an abundant number, since it is smaller than the sum of its proper divisors (215340442657260).

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

100302111304020 is a wasteful number, since it uses less digits than its factorization.

100302111304020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8131076 (or 8131062 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100302111304020 its reverse (20403111203001), we get a palindrome (120705222507021).

The spelling of 100302111304020 in words is "one hundred trillion, three hundred two billion, one hundred eleven million, three hundred four thousand, twenty".