101222202102210 has 256 divisors, whose sum is σ = 310697607168000. Its totient is φ = 22971151756800.

The previous prime is 101222202102163. The next prime is 101222202102221. The reversal of 101222202102210 is 12201202222101.

It is a happy number.

101222202102210 is a `hidden beast` number, since 1 + 0 + 1 + 22 + 220 + 210 + 2 + 210 = 666.

101222202102210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 187806691 + ... + 188344889.

It is an arithmetic number, because the mean of its divisors is an integer number (1213662528000).

Almost surely, 2^{101222202102210} is an apocalyptic number.

101222202102210 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 101222202102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155348803584000).

101222202102210 is an abundant number, since it is smaller than the sum of its proper divisors (209475405065790).

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

101222202102210 is a wasteful number, since it uses less digits than its factorization.

101222202102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538934 (or 538928 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101222202102210 its reverse (12201202222101), we get a palindrome (113423404324311).

The spelling of 101222202102210 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred two million, one hundred two thousand, two hundred ten".