201102102020100 has 288 divisors, whose sum is σ = 586505067495424. Its totient is φ = 53200791705600.

The previous prime is 201102102020077. The next prime is 201102102020143. The reversal of 201102102020100 is 1020201201102.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21524356029 + ... + 21524365371.

Almost surely, 2^{201102102020100} is an apocalyptic number.

201102102020100 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 201102102020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293252533747712).

201102102020100 is an abundant number, since it is smaller than the sum of its proper divisors (385402965475324).

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

201102102020100 is a wasteful number, since it uses less digits than its factorization.

201102102020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10707 (or 10700 counting only the distinct ones).

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

Adding to 201102102020100 its reverse (1020201201102), we get a palindrome (202122303221202).

The spelling of 201102102020100 in words is "two hundred one trillion, one hundred two billion, one hundred two million, twenty thousand, one hundred".