100001120121112 has 128 divisors (see below), whose sum is σ = 222700708823040. Its totient is φ = 41194182234240.

The previous prime is 100001120121083. The next prime is 100001120121127. The reversal of 100001120121112 is 211121021100001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100001120121092 and 100001120121101.

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, 443298093 + ... + 443523619.

It is an arithmetic number, because the mean of its divisors is an integer number (1739849287680).

Almost surely, 2^{100001120121112} 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 100001120121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111350354411520).

100001120121112 is an abundant number, since it is smaller than the sum of its proper divisors (122699588701928).

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

100001120121112 is a wasteful number, since it uses less digits than its factorization.

100001120121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227301 (or 227297 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100001120121112 its reverse (211121021100001), we get a palindrome (311122141221113).

The spelling of 100001120121112 in words is "one hundred trillion, one billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twelve".