100111212001200 has 240 divisors, whose sum is σ = 342145697452416. Its totient is φ = 24934149427200.

The previous prime is 100111212001189. The next prime is 100111212001201. The reversal of 100111212001200 is 2100212111001.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (100111212001201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16058182 + ... + 21402981.

Almost surely, 2^{100111212001200} is an apocalyptic number.

100111212001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111212001200 is an abundant number, since it is smaller than the sum of its proper divisors (242034485451216).

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

100111212001200 is a wasteful number, since it uses less digits than its factorization.

100111212001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37461332 (or 37461321 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100111212001200 its reverse (2100212111001), we get a palindrome (102211424112201).

The spelling of 100111212001200 in words is "one hundred trillion, one hundred eleven billion, two hundred twelve million, one thousand, two hundred".