100200012000000 has 1008 divisors, whose sum is σ = 365956908191616. Its totient is φ = 24136704000000.

The previous prime is 100200011999999. The next prime is 100200012000017. The reversal of 100200012000000 is 210002001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 21515997672 + ... + 21516002328.

Almost surely, 2^{100200012000000} is an apocalyptic number.

100200012000000 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 100200012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182978454095808).

100200012000000 is an abundant number, since it is smaller than the sum of its proper divisors (265756896191616).

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

100200012000000 is an frugal number, since it uses more digits than its factorization.

100200012000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4880 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 100200012000000 its reverse (210002001), we get a palindrome (100200222002001).

The spelling of 100200012000000 in words is "one hundred trillion, two hundred billion, twelve million", and thus it is an aban number.