21121213122300 has 288 divisors, whose sum is σ = 63750287776000. Its totient is φ = 5393968588800.

The previous prime is 21121213122283. The next prime is 21121213122379. The reversal of 21121213122300 is 322131212112.

It is a super-2 number, since 2×21121213122300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 982416951 + ... + 982438449.

Almost surely, 2^{21121213122300} is an apocalyptic number.

21121213122300 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 21121213122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31875143888000).

21121213122300 is an abundant number, since it is smaller than the sum of its proper divisors (42629074653700).

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

21121213122300 is a wasteful number, since it uses less digits than its factorization.

21121213122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22941 (or 22934 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 21121213122300 its reverse (322131212112), we get a palindrome (21443344334412).

The spelling of 21121213122300 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred thirteen million, one hundred twenty-two thousand, three hundred".