100101111121200 has 180 divisors, whose sum is σ = 373009426333800. Its totient is φ = 22880253957120.

The previous prime is 100101111121177. The next prime is 100101111121229. The reversal of 100101111121200 is 2121111101001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 851141125 + ... + 851258724.

Almost surely, 2^{100101111121200} is an apocalyptic number.

100101111121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101111121200 is an abundant number, since it is smaller than the sum of its proper divisors (272908315212600).

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

100101111121200 is a wasteful number, since it uses less digits than its factorization.

100101111121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702399884 (or 1702399866 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100101111121200 its reverse (2121111101001), we get a palindrome (102222222222201).

The spelling of 100101111121200 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, one hundred twenty-one thousand, two hundred".