100111121011200 has 480 divisors, whose sum is σ = 356250077035776. Its totient is φ = 24635821916160.

The previous prime is 100111121011189. The next prime is 100111121011201. The reversal of 100111121011200 is 2110121111001.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×100111121011200² (a number of 29 digits) contains 22 as substring.

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 (100111121011201) 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, 1908415372 + ... + 1908467828.

Almost surely, 2^{100111121011200} is an apocalyptic number.

100111121011200 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 100111121011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178125038517888).

100111121011200 is an abundant number, since it is smaller than the sum of its proper divisors (256138956024576).

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

100111121011200 is a wasteful number, since it uses less digits than its factorization.

100111121011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56324 (or 56303 counting only the distinct ones).

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

Adding to 100111121011200 its reverse (2110121111001), we get a palindrome (102221242122201).

The spelling of 100111121011200 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-one million, eleven thousand, two hundred".