101233122231100 has 144 divisors (see below), whose sum is σ = 227901413376000. Its totient is φ = 38990633472000.

The previous prime is 101233122230993. The next prime is 101233122231233. The reversal of 101233122231100 is 1132221332101.

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 47 ways as a sum of consecutive naturals, for example, 499590805 + ... + 499793395.

It is an arithmetic number, because the mean of its divisors is an integer number (1582648704000).

Almost surely, 2^{101233122231100} is an apocalyptic number.

101233122231100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101233122231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113950706688000).

101233122231100 is an abundant number, since it is smaller than the sum of its proper divisors (126668291144900).

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

101233122231100 is a wasteful number, since it uses less digits than its factorization.

101233122231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203444 (or 203437 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 101233122231100 its reverse (1132221332101), we get a palindrome (102365343563201).

The spelling of 101233122231100 in words is "one hundred one trillion, two hundred thirty-three billion, one hundred twenty-two million, two hundred thirty-one thousand, one hundred".