101100212101112 has 128 divisors (see below), whose sum is σ = 230537564467200. Its totient is φ = 40655605017600.

The previous prime is 101100212101111. The next prime is 101100212101157. The reversal of 101100212101112 is 211101212001101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100212101111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716162 + ... + 14237742.

It is an arithmetic number, because the mean of its divisors is an integer number (1801074722400).

Almost surely, 2^{101100212101112} 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 101100212101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115268782233600).

101100212101112 is an abundant number, since it is smaller than the sum of its proper divisors (129437352366088).

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

101100212101112 is a wasteful number, since it uses less digits than its factorization.

101100212101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13521757 (or 13521753 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101100212101112 its reverse (211101212001101), we get a palindrome (312201424102213).

It can be divided in two parts, 101100 and 212101112, that added together give a palindrome (212202212).

The spelling of 101100212101112 in words is "one hundred one trillion, one hundred billion, two hundred twelve million, one hundred one thousand, one hundred twelve".