100212221201112 has 192 divisors, whose sum is σ = 277710385680000. Its totient is φ = 32637571200000.

The previous prime is 100212221201093. The next prime is 100212221201177. The reversal of 100212221201112 is 211102122212001.

100212221201112 is a `hidden beast` number, since 100 + 212 + 221 + 20 + 1 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1119632362 + ... + 1119721862.

It is an arithmetic number, because the mean of its divisors is an integer number (1446408258750).

Almost surely, 2^{100212221201112} is an apocalyptic number.

100212221201112 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 100212221201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138855192840000).

100212221201112 is an abundant number, since it is smaller than the sum of its proper divisors (177498164478888).

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

100212221201112 is a wasteful number, since it uses less digits than its factorization.

100212221201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91642 (or 91635 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100212221201112 its reverse (211102122212001), we get a palindrome (311314343413113).

The spelling of 100212221201112 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty-one million, two hundred one thousand, one hundred twelve".