100200112101020 has 192 divisors, whose sum is σ = 231743576064000. Its totient is φ = 36262506518784.

The previous prime is 100200112100989. The next prime is 100200112101083. The reversal of 100200112101020 is 20101211002001.

It is a junction number, because it is equal to n+sod(n) for n = 100200112100992 and 100200112101010.

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, 132581771 + ... + 133335389.

It is an arithmetic number, because the mean of its divisors is an integer number (1206997792000).

Almost surely, 2^{100200112101020} is an apocalyptic number.

100200112101020 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 100200112101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115871788032000).

100200112101020 is an abundant number, since it is smaller than the sum of its proper divisors (131543463962980).

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

100200112101020 is a wasteful number, since it uses less digits than its factorization.

100200112101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753872 (or 753870 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100200112101020 its reverse (20101211002001), we get a palindrome (120301323103021).

The spelling of 100200112101020 in words is "one hundred trillion, two hundred billion, one hundred twelve million, one hundred one thousand, twenty".