101233110331122 has 128 divisors (see below), whose sum is σ = 264581610209280. Its totient is φ = 25038297599040.

The previous prime is 101233110331117. The next prime is 101233110331123. The reversal of 101233110331122 is 221133011332101.

It is a junction number, because it is equal to n+sod(n) for n = 101233110331092 and 101233110331101.

It is not an unprimeable number, because it can be changed into a prime (101233110331123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18991222 + ... + 23730417.

It is an arithmetic number, because the mean of its divisors is an integer number (2067043829760).

Almost surely, 2^{101233110331122} is an apocalyptic number.

101233110331122 is an abundant number, since it is smaller than the sum of its proper divisors (163348499878158).

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

101233110331122 is a wasteful number, since it uses less digits than its factorization.

101233110331122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42721908.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 101233110331122 its reverse (221133011332101), we get a palindrome (322366121663223).

The spelling of 101233110331122 in words is "one hundred one trillion, two hundred thirty-three billion, one hundred ten million, three hundred thirty-one thousand, one hundred twenty-two".