101132223210 has 384 divisors, whose sum is σ = 295015219200. Its totient is φ = 23937016320.

The previous prime is 101132223193. The next prime is 101132223217. The reversal of 101132223210 is 12322231101.

101132223210 is a `hidden beast` number, since 10 + 11 + 322 + 2 + 321 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (101132223217) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 211131751 + ... + 211132229.

It is an arithmetic number, because the mean of its divisors is an integer number (768268800).

Almost surely, 2^101132223210 is an apocalyptic number.

101132223210 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 101132223210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147507609600).

101132223210 is an abundant number, since it is smaller than the sum of its proper divisors (193882995990).

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

101132223210 is a wasteful number, since it uses less digits than its factorization.

101132223210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 663 counting only the distinct ones).

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

Adding to 101132223210 its reverse (12322231101), we get a palindrome (113454454311).

The spelling of 101132223210 in words is "one hundred one billion, one hundred thirty-two million, two hundred twenty-three thousand, two hundred ten".