100133202011112 has 192 divisors, whose sum is σ = 284092256448000. Its totient is φ = 31801854682752.

The previous prime is 100133202011099. The next prime is 100133202011123. The reversal of 100133202011112 is 211110202331001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457146883 + ... + 457365869.

It is an arithmetic number, because the mean of its divisors is an integer number (1479647169000).

Almost surely, 2^{100133202011112} is an apocalyptic number.

100133202011112 is a gapful number since it is divisible by the number (12) 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 100133202011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142046128224000).

100133202011112 is an abundant number, since it is smaller than the sum of its proper divisors (183959054436888).

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

100133202011112 is a wasteful number, since it uses less digits than its factorization.

100133202011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220100 (or 220093 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100133202011112 its reverse (211110202331001), we get a palindrome (311243404342113).

The spelling of 100133202011112 in words is "one hundred trillion, one hundred thirty-three billion, two hundred two million, eleven thousand, one hundred twelve".