21100223211012 has 288 divisors, whose sum is σ = 62444753280000. Its totient is φ = 6171193526400.

The previous prime is 21100223211007. The next prime is 21100223211017. The reversal of 21100223211012 is 21011232200112.

It is an interprime number because it is at equal distance from previous prime (21100223211007) and next prime (21100223211017).

It is a super-3 number, since 3×21100223211012³ (a number of 41 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21100223211017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 929882587 + ... + 929905277.

It is an arithmetic number, because the mean of its divisors is an integer number (216822060000).

Almost surely, 2^{21100223211012} is an apocalyptic number.

21100223211012 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 21100223211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31222376640000).

21100223211012 is an abundant number, since it is smaller than the sum of its proper divisors (41344530068988).

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

21100223211012 is a wasteful number, since it uses less digits than its factorization.

21100223211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25749 (or 25735 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21100223211012 its reverse (21011232200112), we get a palindrome (42111455411124).

The spelling of 21100223211012 in words is "twenty-one trillion, one hundred billion, two hundred twenty-three million, two hundred eleven thousand, twelve".