101132122122 has 24 divisors (see below), whose sum is σ = 220231887876. Its totient is φ = 33539585856.

The previous prime is 101132122097. The next prime is 101132122129. The reversal of 101132122122 is 221221231101.

101132122122 is a `hidden beast` number, since 101 + 1 + 321 + 221 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77468145561 + 23663976561 = 278331^2 + 153831^2 .

It is a super-2 number, since 2×101132122122² (a number of 23 digits) contains 22 as substring.

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 = 101132122095 and 101132122104.

It is not an unprimeable number, because it can be changed into a prime (101132122129) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14256483 + ... + 14263574.

Almost surely, 2^101132122122 is an apocalyptic number.

101132122122 is an abundant number, since it is smaller than the sum of its proper divisors (119099765754).

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

101132122122 is a wasteful number, since it uses less digits than its factorization.

101132122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28520262 (or 28520259 counting only the distinct ones).

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

Adding to 101132122122 its reverse (221221231101), we get a palindrome (322353353223).

The spelling of 101132122122 in words is "one hundred one billion, one hundred thirty-two million, one hundred twenty-two thousand, one hundred twenty-two".