21146100164112 has 320 divisors, whose sum is σ = 70962358118400. Its totient is φ = 5264941731840.

The previous prime is 21146100164003. The next prime is 21146100164117.

21146100164112 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 21146100164112.

It is not an unprimeable number, because it can be changed into a prime (21146100164117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14188908 + ... + 15608244.

It is an arithmetic number, because the mean of its divisors is an integer number (221757369120).

Almost surely, 2^{21146100164112} is an apocalyptic number.

21146100164112 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 21146100164112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35481179059200).

21146100164112 is an abundant number, since it is smaller than the sum of its proper divisors (49816257954288).

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

21146100164112 is a wasteful number, since it uses less digits than its factorization.

21146100164112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419534 (or 1419528 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 21146100164112 in words is "twenty-one trillion, one hundred forty-six billion, one hundred million, one hundred sixty-four thousand, one hundred twelve".