21220022010100 has 72 divisors (see below), whose sum is σ = 47637621856440. Its totient is φ = 8194917803520.

The previous prime is 21220022010037. The next prime is 21220022010149. The reversal of 21220022010100 is 101022002212.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1379393874576 + 19840628135524 = 1174476^2 + 4454282^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62927142 + ... + 63263458.

It is an arithmetic number, because the mean of its divisors is an integer number (661633636895).

Almost surely, 2^{21220022010100} is an apocalyptic number.

21220022010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220022010100 is an abundant number, since it is smaller than the sum of its proper divisors (26417599846340).

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

21220022010100 is a wasteful number, since it uses less digits than its factorization.

21220022010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358117 (or 358110 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21220022010100 its reverse (101022002212), we get a palindrome (21321044012312).

The spelling of 21220022010100 in words is "twenty-one trillion, two hundred twenty billion, twenty-two million, ten thousand, one hundred".