21221110010000 has 100 divisors (see below), whose sum is σ = 51908106348252. Its totient is φ = 8400933888000.

The previous prime is 21221110009937. The next prime is 21221110010003. The reversal of 21221110010000 is 1001112212.

It can be written as a sum of positive squares in 10 ways, for example, as 11218641131776 + 10002468878224 = 3349424^2 + 3162668^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-4 number, since 4×21221110010000⁴ (a number of 54 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (21221110010003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9968717 + ... + 11908716.

Almost surely, 2^{21221110010000} is an apocalyptic number.

21221110010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221110010000 is an abundant number, since it is smaller than the sum of its proper divisors (30686996338252).

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

21221110010000 is an equidigital number, since it uses as much as digits as its factorization.

21221110010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21877558 (or 21877537 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21221110010000 its reverse (1001112212), we get a palindrome (21222111122212).

The spelling of 21221110010000 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred ten million, ten thousand".