21202202010000 has 600 divisors, whose sum is σ = 78502559889600. Its totient is φ = 4916433280000.

The previous prime is 21202202009999. The next prime is 21202202010029. The reversal of 21202202010000 is 1020220212.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 83363026 + ... + 83616974.

It is an arithmetic number, because the mean of its divisors is an integer number (130837599816).

Almost surely, 2^{21202202010000} is an apocalyptic number.

21202202010000 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 21202202010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39251279944800).

21202202010000 is an abundant number, since it is smaller than the sum of its proper divisors (57300357879600).

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

21202202010000 is a wasteful number, since it uses less digits than its factorization.

21202202010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254025 (or 253993 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21202202010000 its reverse (1020220212), we get a palindrome (21203222230212).

The spelling of 21202202010000 in words is "twenty-one trillion, two hundred two billion, two hundred two million, ten thousand".