101122321032 has 24 divisors (see below), whose sum is σ = 273872952990. Its totient is φ = 33707440320.

The previous prime is 101122321031. The next prime is 101122321049. The reversal of 101122321032 is 230123221101.

It can be written as a sum of positive squares in only one way, i.e., 68243202756 + 32879118276 = 261234^2 + 181326^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 = 101122320996 and 101122321014.

It is not an unprimeable number, because it can be changed into a prime (101122321031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 702238269 + ... + 702238412.

Almost surely, 2^101122321032 is an apocalyptic number.

101122321032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101122321032 is an abundant number, since it is smaller than the sum of its proper divisors (172750631958).

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

101122321032 is a wasteful number, since it uses less digits than its factorization.

101122321032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404476693 (or 1404476686 counting only the distinct ones).

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

Adding to 101122321032 its reverse (230123221101), we get a palindrome (331245542133).

The spelling of 101122321032 in words is "one hundred one billion, one hundred twenty-two million, three hundred twenty-one thousand, thirty-two".