100200111001200 has 720 divisors, whose sum is σ = 410463234195456. Its totient is φ = 22150726041600.

The previous prime is 100200111001189. The next prime is 100200111001213. The reversal of 100200111001200 is 2100111002001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1325658609 + ... + 1325734191.

Almost surely, 2^{100200111001200} is an apocalyptic number.

100200111001200 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 100200111001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205231617097728).

100200111001200 is an abundant number, since it is smaller than the sum of its proper divisors (310263123194256).

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

100200111001200 is a wasteful number, since it uses less digits than its factorization.

100200111001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77342 (or 77328 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100200111001200 its reverse (2100111002001), we get a palindrome (102300222003201).

The spelling of 100200111001200 in words is "one hundred trillion, two hundred billion, one hundred eleven million, one thousand, two hundred".