101320110330210 has 288 divisors, whose sum is σ = 279008782730496. Its totient is φ = 25505436000000.

The previous prime is 101320110330209. The next prime is 101320110330277. The reversal of 101320110330210 is 12033011023101.

101320110330210 is a `hidden beast` number, since 1 + 0 + 1 + 320 + 1 + 1 + 0 + 330 + 2 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 143 ways as a sum of consecutive naturals, for example, 1495443835 + ... + 1495511585.

It is an arithmetic number, because the mean of its divisors is an integer number (968780495592).

Almost surely, 2^{101320110330210} is an apocalyptic number.

101320110330210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101320110330210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139504391365248).

101320110330210 is an abundant number, since it is smaller than the sum of its proper divisors (177688672400286).

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

101320110330210 is a wasteful number, since it uses less digits than its factorization.

101320110330210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68222 (or 68196 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101320110330210 its reverse (12033011023101), we get a palindrome (113353121353311).

The spelling of 101320110330210 in words is "one hundred one trillion, three hundred twenty billion, one hundred ten million, three hundred thirty thousand, two hundred ten".