21102210010112 has 352 divisors, whose sum is σ = 55197491641344. Its totient is φ = 7818603724800.

The previous prime is 21102210010097. The next prime is 21102210010121. The reversal of 21102210010112 is 21101001220112.

It is a tau number, because it is divible by the number of its divisors (352).

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

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, 313702562 + ... + 313769822.

Almost surely, 2^{21102210010112} is an apocalyptic number.

21102210010112 is a gapful number since it is divisible by the number (22) 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 21102210010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27598745820672).

21102210010112 is an abundant number, since it is smaller than the sum of its proper divisors (34095281631232).

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

21102210010112 is a wasteful number, since it uses less digits than its factorization.

21102210010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67495 (or 67477 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21102210010112 its reverse (21101001220112), we get a palindrome (42203211230224).

The spelling of 21102210010112 in words is "twenty-one trillion, one hundred two billion, two hundred ten million, ten thousand, one hundred twelve".