100210112201112 has 128 divisors (see below), whose sum is σ = 260543712706560. Its totient is φ = 32084255468160.

The previous prime is 100210112201083. The next prime is 100210112201153. The reversal of 100210112201112 is 211102211012001.

It is a happy number.

It is a super-2 number, since 2×100210112201112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100210112201091 and 100210112201100.

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, 89549023 + ... + 90661169.

It is an arithmetic number, because the mean of its divisors is an integer number (2035497755520).

Almost surely, 2^{100210112201112} is an apocalyptic number.

100210112201112 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 100210112201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130271856353280).

100210112201112 is an abundant number, since it is smaller than the sum of its proper divisors (160333600505448).

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

100210112201112 is a wasteful number, since it uses less digits than its factorization.

100210112201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113093 (or 1113089 counting only the distinct ones).

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

Adding to 100210112201112 its reverse (211102211012001), we get a palindrome (311312323213113).

The spelling of 100210112201112 in words is "one hundred trillion, two hundred ten billion, one hundred twelve million, two hundred one thousand, one hundred twelve".