21100201111002 has 192 divisors, whose sum is σ = 47584755219456. Its totient is φ = 6194161290240.

The previous prime is 21100201110991. The next prime is 21100201111007. The reversal of 21100201111002 is 20011110200112.

It is not an unprimeable number, because it can be changed into a prime (21100201111007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10277739408 + ... + 10277741460.

It is an arithmetic number, because the mean of its divisors is an integer number (247837266768).

Almost surely, 2^{21100201111002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21100201111002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23792377609728).

21100201111002 is an abundant number, since it is smaller than the sum of its proper divisors (26484554108454).

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

21100201111002 is a wasteful number, since it uses less digits than its factorization.

21100201111002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21100201111002 its reverse (20011110200112), we get a palindrome (41111311311114).

The spelling of 21100201111002 in words is "twenty-one trillion, one hundred billion, two hundred one million, one hundred eleven thousand, two".