100133000321112 has 384 divisors, whose sum is σ = 318960962611200. Its totient is φ = 28086613401600.

The previous prime is 100133000321089. The next prime is 100133000321153. The reversal of 100133000321112 is 211123000331001.

100133000321112 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 330 + 0 + 0 + 321 + 1 + 12 = 666.

It is a super-2 number, since 2×100133000321112² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52662888 + ... + 54531144.

It is an arithmetic number, because the mean of its divisors is an integer number (830627506800).

Almost surely, 2^{100133000321112} is an apocalyptic number.

100133000321112 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 100133000321112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159480481305600).

100133000321112 is an abundant number, since it is smaller than the sum of its proper divisors (218827962290088).

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

100133000321112 is a wasteful number, since it uses less digits than its factorization.

100133000321112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868407 (or 1868400 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100133000321112 its reverse (211123000331001), we get a palindrome (311256000652113).

The spelling of 100133000321112 in words is "one hundred trillion, one hundred thirty-three billion, three hundred twenty-one thousand, one hundred twelve".