100301213230020 has 384 divisors, whose sum is σ = 351430797312000. Its totient is φ = 23528840601600.

The previous prime is 100301213229991. The next prime is 100301213230069. The reversal of 100301213230020 is 20032312103001.

100301213230020 is a `hidden beast` number, since 1 + 0 + 0 + 301 + 21 + 323 + 0 + 0 + 20 = 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 = 100301213229975 and 100301213230002.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2706655332 + ... + 2706692388.

It is an arithmetic number, because the mean of its divisors is an integer number (915184368000).

Almost surely, 2^{100301213230020} is an apocalyptic number.

100301213230020 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 100301213230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175715398656000).

100301213230020 is an abundant number, since it is smaller than the sum of its proper divisors (251129584081980).

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

100301213230020 is a wasteful number, since it uses less digits than its factorization.

100301213230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51816 (or 51808 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100301213230020 its reverse (20032312103001), we get a palindrome (120333525333021).

The spelling of 100301213230020 in words is "one hundred trillion, three hundred one billion, two hundred thirteen million, two hundred thirty thousand, twenty".