101132211222 has 288 divisors, whose sum is σ = 269243642304. Its totient is φ = 27324864000.

The previous prime is 101132211181. The next prime is 101132211269. The reversal of 101132211222 is 222112231101.

101132211222 is a `hidden beast` number, since 101 + 132 + 211 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 101132211195 and 101132211204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 201057823 + ... + 201058325.

It is an arithmetic number, because the mean of its divisors is an integer number (934873758).

Almost surely, 2^101132211222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101132211222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134621821152).

101132211222 is an abundant number, since it is smaller than the sum of its proper divisors (168111431082).

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

101132211222 is a wasteful number, since it uses less digits than its factorization.

101132211222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101132211222 its reverse (222112231101), we get a palindrome (323244442323).

The spelling of 101132211222 in words is "one hundred one billion, one hundred thirty-two million, two hundred eleven thousand, two hundred twenty-two".