21121211110000 has 150 divisors (see below), whose sum is σ = 53969624092032. Its totient is φ = 8003826000000.

The previous prime is 21121211109991. The next prime is 21121211110009. The reversal of 21121211110000 is 1111212112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21121211109991) and next prime (21121211110009).

It is a super-2 number, since 2×21121211110000² (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 (21121211110009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 684625 + ... + 6535375.

Almost surely, 2^{21121211110000} is an apocalyptic number.

21121211110000 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 21121211110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26984812046016).

21121211110000 is an abundant number, since it is smaller than the sum of its proper divisors (32848412982032).

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

21121211110000 is an equidigital number, since it uses as much as digits as its factorization.

21121211110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5850817 (or 5850777 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 21121211110000 its reverse (1111212112), we get a palindrome (21122322322112).

The spelling of 21121211110000 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred eleven million, one hundred ten thousand".