100211110112112 has 20 divisors (see below), whose sum is σ = 258878701123080. Its totient is φ = 33403703370688.

The previous prime is 100211110112089. The next prime is 100211110112119. The reversal of 100211110112112 is 211211011112001.

It is a junction number, because it is equal to n+sod(n) for n = 100211110112091 and 100211110112100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211110112119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1043865730287 + ... + 1043865730382.

It is an arithmetic number, because the mean of its divisors is an integer number (12943935056154).

Almost surely, 2^{100211110112112} is an apocalyptic number.

100211110112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100211110112112 is an abundant number, since it is smaller than the sum of its proper divisors (158667591010968).

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

100211110112112 is a wasteful number, since it uses less digits than its factorization.

100211110112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087731460680 (or 2087731460674 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 100211110112112 its reverse (211211011112001), we get a palindrome (311422121224113).

The spelling of 100211110112112 in words is "one hundred trillion, two hundred eleven billion, one hundred ten million, one hundred twelve thousand, one hundred twelve".