21122101022200 has 48 divisors (see below), whose sum is σ = 49139908282080. Its totient is φ = 8443503048960.

The previous prime is 21122101022167. The next prime is 21122101022201. The reversal of 21122101022200 is 222010122112.

It is a happy number.

It is a super-2 number, since 2×21122101022200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122101022201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33041109 + ... + 33674308.

It is an arithmetic number, because the mean of its divisors is an integer number (1023748089210).

Almost surely, 2^{21122101022200} is an apocalyptic number.

21122101022200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122101022200 is an abundant number, since it is smaller than the sum of its proper divisors (28017807259880).

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

21122101022200 is a wasteful number, since it uses less digits than its factorization.

21122101022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66717016 (or 66717007 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21122101022200 its reverse (222010122112), we get a palindrome (21344111144312).

The spelling of 21122101022200 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred one million, twenty-two thousand, two hundred".