21122101001120 has 288 divisors, whose sum is σ = 59651106141312. Its totient is φ = 6923040638976.

The previous prime is 21122101001093. The next prime is 21122101001129. The reversal of 21122101001120 is 2110010122112.

It is a super-2 number, since 2×21122101001120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21122101001095 and 21122101001104.

It is not an unprimeable number, because it can be changed into a prime (21122101001129) 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, 1145254619 + ... + 1145273061.

It is an arithmetic number, because the mean of its divisors is an integer number (207121896324).

Almost surely, 2^{21122101001120} is an apocalyptic number.

21122101001120 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 21122101001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29825553070656).

21122101001120 is an abundant number, since it is smaller than the sum of its proper divisors (38529005140192).

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

21122101001120 is a wasteful number, since it uses less digits than its factorization.

21122101001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20444 (or 20413 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21122101001120 its reverse (2110010122112), we get a palindrome (23232111123232).

The spelling of 21122101001120 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred one million, one thousand, one hundred twenty".