101233121332 has 72 divisors (see below), whose sum is σ = 208518482088. Its totient is φ = 42874272000.

The previous prime is 101233121321. The next prime is 101233121369. The reversal of 101233121332 is 233121332101.

It can be written as a sum of positive squares in 4 ways, for example, as 24788613136 + 76444508196 = 157444^2 + 276486^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11021782 + ... + 11030962.

It is an arithmetic number, because the mean of its divisors is an integer number (2896090029).

Almost surely, 2^101233121332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101233121332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104259241044).

101233121332 is an abundant number, since it is smaller than the sum of its proper divisors (107285360756).

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

101233121332 is a wasteful number, since it uses less digits than its factorization.

101233121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9857 (or 9848 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 101233121332 its reverse (233121332101), we get a palindrome (334354453433).

It can be divided in two parts, 101 and 233121332, that multiplied together give a palindrome (23545254532).

The spelling of 101233121332 in words is "one hundred one billion, two hundred thirty-three million, one hundred twenty-one thousand, three hundred thirty-two".