100001320020 has 288 divisors, whose sum is σ = 366262041600. Its totient is φ = 21599327232.

The previous prime is 100001320019. The next prime is 100001320021. The reversal of 100001320020 is 20023100001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100001320019) and next prime (100001320021).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100001319984 and 100001320011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001320021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1688266 + ... + 1746494.

It is an arithmetic number, because the mean of its divisors is an integer number (1271743200).

Almost surely, 2^100001320020 is an apocalyptic number.

100001320020 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 100001320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183131020800).

100001320020 is an abundant number, since it is smaller than the sum of its proper divisors (266260721580).

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

100001320020 is a wasteful number, since it uses less digits than its factorization.

100001320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58327 (or 58322 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100001320020 its reverse (20023100001), we get a palindrome (120024420021).

The spelling of 100001320020 in words is "one hundred billion, one million, three hundred twenty thousand, twenty".