101200033332 has 72 divisors (see below), whose sum is σ = 263124766632. Its totient is φ = 32771692800.

The previous prime is 101200033303. The next prime is 101200033339. The reversal of 101200033332 is 233330002101.

101200033332 is a `hidden beast` number, since 101 + 200 + 0 + 33 + 332 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17473138596 + 83726894736 = 132186^2 + 289356^2 .

It is a super-2 number, since 2×101200033332² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200033339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 822982 + ... + 937922.

Almost surely, 2^101200033332 is an apocalyptic number.

101200033332 is a gapful number since it is divisible by the number (12) 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 101200033332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131562383316).

101200033332 is an abundant number, since it is smaller than the sum of its proper divisors (161924733300).

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

101200033332 is a wasteful number, since it uses less digits than its factorization.

101200033332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115649 (or 115644 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 101200033332 its reverse (233330002101), we get a palindrome (334530035433).

The spelling of 101200033332 in words is "one hundred one billion, two hundred million, thirty-three thousand, three hundred thirty-two".