21102011120000 has 160 divisors (see below), whose sum is σ = 53649852426720. Its totient is φ = 8261211392000.

The previous prime is 21102011119913. The next prime is 21102011120011. The reversal of 21102011120000 is 2111020112.

It is a tau number, because it is divible by the number of its divisors (160).

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, 953882 + ... + 6566118.

It is an arithmetic number, because the mean of its divisors is an integer number (335311577667).

Almost surely, 2^{21102011120000} is an apocalyptic number.

21102011120000 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 21102011120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26824926213360).

21102011120000 is an abundant number, since it is smaller than the sum of its proper divisors (32547841306720).

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

21102011120000 is an frugal number, since it uses more digits than its factorization.

21102011120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5612318 (or 5612291 counting only the distinct ones).

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

Adding to 21102011120000 its reverse (2111020112), we get a palindrome (21104122140112).

The spelling of 21102011120000 in words is "twenty-one trillion, one hundred two billion, eleven million, one hundred twenty thousand".