101222133210 has 384 divisors, whose sum is σ = 318201571584. Its totient is φ = 22039879680.

The previous prime is 101222133163. The next prime is 101222133241. The reversal of 101222133210 is 12331222101.

101222133210 is a `hidden beast` number, since 10 + 122 + 213 + 321 + 0 = 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33002097 + ... + 33005163.

It is an arithmetic number, because the mean of its divisors is an integer number (828649926).

Almost surely, 2^101222133210 is an apocalyptic number.

101222133210 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 101222133210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159100785792).

101222133210 is an abundant number, since it is smaller than the sum of its proper divisors (216979438374).

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

101222133210 is a wasteful number, since it uses less digits than its factorization.

101222133210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101222133210 its reverse (12331222101), we get a palindrome (113553355311).

It can be divided in two parts, 101222 and 133210, that added together give a palindrome (234432).

The spelling of 101222133210 in words is "one hundred one billion, two hundred twenty-two million, one hundred thirty-three thousand, two hundred ten".