100200011220012 has 192 divisors, whose sum is σ = 263632761520128. Its totient is φ = 29345061024000.

The previous prime is 100200011219999. The next prime is 100200011220013. The reversal of 100200011220012 is 210022110002001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 100200011220012.

It is not an unprimeable number, because it can be changed into a prime (100200011220013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20613042462 + ... + 20613047322.

It is an arithmetic number, because the mean of its divisors is an integer number (1373087299584).

Almost surely, 2^{100200011220012} is an apocalyptic number.

100200011220012 is a gapful number since it is divisible by the number (12) 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 100200011220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131816380760064).

100200011220012 is an abundant number, since it is smaller than the sum of its proper divisors (163432750300116).

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

100200011220012 is a wasteful number, since it uses less digits than its factorization.

100200011220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10580 (or 10578 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100200011220012 its reverse (210022110002001), we get a palindrome (310222121222013).

The spelling of 100200011220012 in words is "one hundred trillion, two hundred billion, eleven million, two hundred twenty thousand, twelve".