100200120020000 has 480 divisors, whose sum is σ = 330974936417664. Its totient is φ = 28828800000000.

The previous prime is 100200120019963. The next prime is 100200120020057. The reversal of 100200120020000 is 20021002001.

Added to its reverse (20021002001) it gives a square (100220141022001 = 10011001²).

It is a Cunningham number, because it is equal to 10010001²-1.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100200120020000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17517500 + ... + 22522500.

Almost surely, 2^{100200120020000} is an apocalyptic number.

100200120020000 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 100200120020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165487468208832).

100200120020000 is an abundant number, since it is smaller than the sum of its proper divisors (230774816397664).

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

100200120020000 is a wasteful number, since it uses less digits than its factorization.

100200120020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005062 (or 5005039 counting only the distinct ones).

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

Adding to 100200120020000 its reverse (20021002001), we get a palindrome (100220141022001).

The spelling of 100200120020000 in words is "one hundred trillion, two hundred billion, one hundred twenty million, twenty thousand".