21001102200000 has 1344 divisors, whose sum is σ = 86725289226240. Its totient is φ = 4944360960000.

The previous prime is 21001102199981. The next prime is 21001102200017. The reversal of 21001102200000 is 220110012.

It is a super-2 number, since 2×21001102200000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1614593497 + ... + 1614606503.

It is an arithmetic number, because the mean of its divisors is an integer number (64527744960).

Almost surely, 2^{21001102200000} is an apocalyptic number.

21001102200000 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 21001102200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43362644613120).

21001102200000 is an abundant number, since it is smaller than the sum of its proper divisors (65724187026240).

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

21001102200000 is a wasteful number, since it uses less digits than its factorization.

21001102200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13089 (or 13053 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21001102200000 its reverse (220110012), we get a palindrome (21001322310012).

The spelling of 21001102200000 in words is "twenty-one trillion, one billion, one hundred two million, two hundred thousand".