21122102100000 has 288 divisors, whose sum is σ = 75602697492672. Its totient is φ = 5120508800000.

The previous prime is 21122102099993. The next prime is 21122102100007. The reversal of 21122102100000 is 120122112.

It is an interprime number because it is at equal distance from previous prime (21122102099993) and next prime (21122102100007).

It is a super-2 number, since 2×21122102100000² (a number of 27 digits) contains 22 as substring.

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 (21122102100007) 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 47 ways as a sum of consecutive naturals, for example, 99682 + ... + 6500318.

It is an arithmetic number, because the mean of its divisors is an integer number (262509366294).

Almost surely, 2^{21122102100000} is an apocalyptic number.

21122102100000 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 21122102100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37801348746336).

21122102100000 is an abundant number, since it is smaller than the sum of its proper divisors (54480595392672).

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

21122102100000 is an equidigital number, since it uses as much as digits as its factorization.

21122102100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6400686 (or 6400658 counting only the distinct ones).

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

Adding to 21122102100000 its reverse (120122112), we get a palindrome (21122222222112).

The spelling of 21122102100000 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred two million, one hundred thousand".