100010100101112 has 24 divisors (see below), whose sum is σ = 270860687774040. Its totient is φ = 33336700033680.

The previous prime is 100010100101111. The next prime is 100010100101123. The reversal of 100010100101112 is 211101001010001.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100010100101094 and 100010100101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010100101111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 694514583964 + ... + 694514584107.

It is an arithmetic number, because the mean of its divisors is an integer number (11285861990585).

Almost surely, 2^{100010100101112} is an apocalyptic number.

100010100101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100010100101112 is an abundant number, since it is smaller than the sum of its proper divisors (170850587672928).

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

100010100101112 is a wasteful number, since it uses less digits than its factorization.

100010100101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389029168083 (or 1389029168076 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100010100101112 its reverse (211101001010001), we get a palindrome (311111101111113).

The spelling of 100010100101112 in words is "one hundred trillion, ten billion, one hundred million, one hundred one thousand, one hundred twelve".