101101020110202 has 192 divisors, whose sum is σ = 239844953162880. Its totient is φ = 28321620332544.

The previous prime is 101101020110131. The next prime is 101101020110219. The reversal of 101101020110202 is 202011020101101.

101101020110202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5812733218 + ... + 5812750610.

It is an arithmetic number, because the mean of its divisors is an integer number (1249192464390).

Almost surely, 2^{101101020110202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101020110202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119922476581440).

101101020110202 is an abundant number, since it is smaller than the sum of its proper divisors (138743933052678).

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

101101020110202 is a wasteful number, since it uses less digits than its factorization.

101101020110202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18845 (or 18838 counting only the distinct ones).

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

Adding to 101101020110202 its reverse (202011020101101), we get a palindrome (303112040211303).

The spelling of 101101020110202 in words is "one hundred one trillion, one hundred one billion, twenty million, one hundred ten thousand, two hundred two".