21102211020000 has 480 divisors, whose sum is σ = 75541931144064. Its totient is φ = 5113670400000.

The previous prime is 21102211019987. The next prime is 21102211020017. The reversal of 21102211020000 is 2011220112.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2321215455 + ... + 2321224545.

Almost surely, 2^{21102211020000} is an apocalyptic number.

21102211020000 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 21102211020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37770965572032).

21102211020000 is an abundant number, since it is smaller than the sum of its proper divisors (54439720124064).

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

21102211020000 is a wasteful number, since it uses less digits than its factorization.

21102211020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12652 (or 12629 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21102211020000 its reverse (2011220112), we get a palindrome (21104222240112).

It can be divided in two parts, 21102 and 211020000, that multiplied together give a square (4452944040000 = 2110200²).

The spelling of 21102211020000 in words is "twenty-one trillion, one hundred two billion, two hundred eleven million, twenty thousand".