21101222212000 has 576 divisors, whose sum is σ = 63429747204096. Its totient is φ = 6865476710400.

The previous prime is 21101222211991. The next prime is 21101222212001. The reversal of 21101222212000 is 21222210112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (21101222212001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 572497572 + ... + 572534428.

It is an arithmetic number, because the mean of its divisors is an integer number (110121088896).

Almost surely, 2^{21101222212000} is an apocalyptic number.

21101222212000 is a gapful number since it is divisible by the number (20) 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 21101222212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31714873602048).

21101222212000 is an abundant number, since it is smaller than the sum of its proper divisors (42328524992096).

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

21101222212000 is a wasteful number, since it uses less digits than its factorization.

21101222212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37046 (or 37021 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21101222212000 its reverse (21222210112), we get a palindrome (21122444422112).

The spelling of 21101222212000 in words is "twenty-one trillion, one hundred one billion, two hundred twenty-two million, two hundred twelve thousand".