21121101220000 has 240 divisors, whose sum is σ = 52313857706880. Its totient is φ = 8391164544000.

The previous prime is 21121101219989. The next prime is 21121101220007. The reversal of 21121101220000 is 2210112112.

It is a super-2 number, since 2×21121101220000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21121101220007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7979258677 + ... + 7979261323.

It is an arithmetic number, because the mean of its divisors is an integer number (217974407112).

Almost surely, 2^{21121101220000} is an apocalyptic number.

21121101220000 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 21121101220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26156928853440).

21121101220000 is an abundant number, since it is smaller than the sum of its proper divisors (31192756486880).

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

21121101220000 is a wasteful number, since it uses less digits than its factorization.

21121101220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5233 (or 5210 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21121101220000 its reverse (2210112112), we get a palindrome (21123311332112).

The spelling of 21121101220000 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred one million, two hundred twenty thousand".