21122121110000 has 100 divisors (see below), whose sum is σ = 51150962233800. Its totient is φ = 8446833696000.

The previous prime is 21122121109963. The next prime is 21122121110021. The reversal of 21122121110000 is 1112122112.

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

It is a super-2 number, since 2×21122121110000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42040271 + ... + 42539729.

It is an arithmetic number, because the mean of its divisors is an integer number (511509622338).

Almost surely, 2^{21122121110000} is an apocalyptic number.

21122121110000 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 21122121110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25575481116900).

21122121110000 is an abundant number, since it is smaller than the sum of its proper divisors (30028841123800).

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

21122121110000 is an equidigital number, since it uses as much as digits as its factorization.

21122121110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503716 (or 503695 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21122121110000 its reverse (1112122112), we get a palindrome (21123233232112).

The spelling of 21122121110000 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred ten thousand".