100213323300020 has 96 divisors (see below), whose sum is σ = 242031205398528. Its totient is φ = 34142032737792.

The previous prime is 100213323300019. The next prime is 100213323300031. The reversal of 100213323300020 is 20003323312001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100213323299965 and 100213323300001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44358749 + ... + 46563131.

It is an arithmetic number, because the mean of its divisors is an integer number (2521158389568).

Almost surely, 2^{100213323300020} is an apocalyptic number.

100213323300020 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 100213323300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121015602699264).

100213323300020 is an abundant number, since it is smaller than the sum of its proper divisors (141817882098508).

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

100213323300020 is a wasteful number, since it uses less digits than its factorization.

100213323300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206449 (or 2206447 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 100213323300020 its reverse (20003323312001), we get a palindrome (120216646612021).

The spelling of 100213323300020 in words is "one hundred trillion, two hundred thirteen billion, three hundred twenty-three million, three hundred thousand, twenty".