21211102120000 has 420 divisors, whose sum is σ = 57153475611540. Its totient is φ = 7804333056000.

The previous prime is 21211102119997. The next prime is 21211102120037. The reversal of 21211102120000 is 2120111212.

It can be written as a sum of positive squares in 30 ways, for example, as 20987320140864 + 223781979136 = 4581192^2 + 473056^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1980674646 + ... + 1980685354.

It is an arithmetic number, because the mean of its divisors is an integer number (136079703837).

Almost surely, 2^{21211102120000} is an apocalyptic number.

21211102120000 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 21211102120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28576737805770).

21211102120000 is an abundant number, since it is smaller than the sum of its proper divisors (35942373491540).

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

21211102120000 is a wasteful number, since it uses less digits than its factorization.

21211102120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11060 (or 11022 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21211102120000 its reverse (2120111212), we get a palindrome (21213222231212).

The spelling of 21211102120000 in words is "twenty-one trillion, two hundred eleven billion, one hundred two million, one hundred twenty thousand".