21322213110100 has 144 divisors (see below), whose sum is σ = 53031301779456. Its totient is φ = 7289440128000.

The previous prime is 21322213110073. The next prime is 21322213110113. The reversal of 21322213110100 is 101131222312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1303225920 + ... + 1303242280.

It is an arithmetic number, because the mean of its divisors is an integer number (368272929024).

Almost surely, 2^{21322213110100} is an apocalyptic number.

21322213110100 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 21322213110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26515650889728).

21322213110100 is an abundant number, since it is smaller than the sum of its proper divisors (31709088669356).

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

21322213110100 is a wasteful number, since it uses less digits than its factorization.

21322213110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21626 (or 21619 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 21322213110100 its reverse (101131222312), we get a palindrome (21423344332412).

The spelling of 21322213110100 in words is "twenty-one trillion, three hundred twenty-two billion, two hundred thirteen million, one hundred ten thousand, one hundred".