100201002112112 has 160 divisors (see below), whose sum is σ = 214868233052928. Its totient is φ = 45262708128000.

The previous prime is 100201002112061. The next prime is 100201002112151. The reversal of 100201002112112 is 211211200102001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6055530623 + ... + 6055547169.

Almost surely, 2^{100201002112112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100201002112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107434116526464).

100201002112112 is an abundant number, since it is smaller than the sum of its proper divisors (114667230940816).

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

100201002112112 is a wasteful number, since it uses less digits than its factorization.

100201002112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18340 (or 18312 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100201002112112 its reverse (211211200102001), we get a palindrome (311412202214113).

The spelling of 100201002112112 in words is "one hundred trillion, two hundred one billion, two million, one hundred twelve thousand, one hundred twelve".