21022112100000 has 288 divisors, whose sum is σ = 75244801649472. Its totient is φ = 5096268800000.

The previous prime is 21022112099971. The next prime is 21022112100007. The reversal of 21022112100000 is 121122012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21022112100007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114832 + ... + 6485168.

It is an arithmetic number, because the mean of its divisors is an integer number (261266672394).

Almost surely, 2^{21022112100000} is an apocalyptic number.

21022112100000 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 21022112100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37622400824736).

21022112100000 is an abundant number, since it is smaller than the sum of its proper divisors (54222689549472).

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

21022112100000 is an equidigital number, since it uses as much as digits as its factorization.

21022112100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6370386 (or 6370358 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21022112100000 its reverse (121122012), we get a palindrome (21022233222012).

It can be divided in two parts, 21022112 and 100000, that added together give a palindrome (21122112).

The spelling of 21022112100000 in words is "twenty-one trillion, twenty-two billion, one hundred twelve million, one hundred thousand".