21100121222000 has 160 divisors (see below), whose sum is σ = 51162531638400. Its totient is φ = 8416517990400.

The previous prime is 21100121221999. The next prime is 21100121222003. The reversal of 21100121222000 is 22212100112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100121222003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1122516602 + ... + 1122535398.

It is an arithmetic number, because the mean of its divisors is an integer number (319765822740).

Almost surely, 2^{21100121222000} is an apocalyptic number.

21100121222000 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 21100121222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25581265819200).

21100121222000 is an abundant number, since it is smaller than the sum of its proper divisors (30062410416400).

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

21100121222000 is a wasteful number, since it uses less digits than its factorization.

21100121222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20356 (or 20340 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21100121222000 its reverse (22212100112), we get a palindrome (21122333322112).

The spelling of 21100121222000 in words is "twenty-one trillion, one hundred billion, one hundred twenty-one million, two hundred twenty-two thousand".