100011020201112 has 128 divisors (see below), whose sum is σ = 257589256593600. Its totient is φ = 32334573772800.

The previous prime is 100011020201077. The next prime is 100011020201119. The reversal of 100011020201112 is 211102020110001.

It is a super-3 number, since 3×100011020201112³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011020201119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383404812 + ... + 383665572.

Almost surely, 2^{100011020201112} is an apocalyptic number.

100011020201112 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 100011020201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128794628296800).

100011020201112 is an abundant number, since it is smaller than the sum of its proper divisors (157578236392488).

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

100011020201112 is a wasteful number, since it uses less digits than its factorization.

100011020201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262157 (or 262153 counting only the distinct ones).

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

Adding to 100011020201112 its reverse (211102020110001), we get a palindrome (311113040311113).

The spelling of 100011020201112 in words is "one hundred trillion, eleven billion, twenty million, two hundred one thousand, one hundred twelve".