21321102214100 has 36 divisors (see below), whose sum is σ = 49825775792604. Its totient is φ = 7872406970880.

The previous prime is 21321102214031. The next prime is 21321102214103. The reversal of 21321102214100 is 141220112312.

It can be written as a sum of positive squares in 6 ways, for example, as 6265119132484 + 15055983081616 = 2503022^2 + 3880204^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21321102214103) 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, 8200422629 + ... + 8200425228.

Almost surely, 2^{21321102214100} is an apocalyptic number.

21321102214100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21321102214100 is an abundant number, since it is smaller than the sum of its proper divisors (28504673578504).

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

21321102214100 is a wasteful number, since it uses less digits than its factorization.

21321102214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16400847884 (or 16400847877 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 21321102214100 its reverse (141220112312), we get a palindrome (21462322326412).

The spelling of 21321102214100 in words is "twenty-one trillion, three hundred twenty-one billion, one hundred two million, two hundred fourteen thousand, one hundred".