100110210212112 has 160 divisors (see below), whose sum is σ = 263900814445440. Its totient is φ = 32695376609280.

The previous prime is 100110210212099. The next prime is 100110210212113. The reversal of 100110210212112 is 211212012011001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100110210212091 and 100110210212100.

It is not an unprimeable number, because it can be changed into a prime (100110210212113) 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, 2248079287 + ... + 2248123817.

It is an arithmetic number, because the mean of its divisors is an integer number (1649380090284).

Almost surely, 2^{100110210212112} is an apocalyptic number.

100110210212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110210212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131950407222720).

100110210212112 is an abundant number, since it is smaller than the sum of its proper divisors (163790604233328).

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

100110210212112 is a wasteful number, since it uses less digits than its factorization.

100110210212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49401 (or 49395 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100110210212112 its reverse (211212012011001), we get a palindrome (311322222223113).

The spelling of 100110210212112 in words is "one hundred trillion, one hundred ten billion, two hundred ten million, two hundred twelve thousand, one hundred twelve".