101200012021332 has 144 divisors (see below), whose sum is σ = 300303829862400. Its totient is φ = 28128442807296.

The previous prime is 101200012021313. The next prime is 101200012021333. The reversal of 101200012021332 is 233120210002101.

101200012021332 is a `hidden beast` number, since 10 + 1 + 200 + 0 + 120 + 2 + 1 + 332 = 666.

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 (101200012021333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59288973 + ... + 60971979.

Almost surely, 2^{101200012021332} is an apocalyptic number.

101200012021332 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 101200012021332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150151914931200).

101200012021332 is an abundant number, since it is smaller than the sum of its proper divisors (199103817841068).

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

101200012021332 is a wasteful number, since it uses less digits than its factorization.

101200012021332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689510 (or 1689505 counting only the distinct ones).

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

Adding to 101200012021332 its reverse (233120210002101), we get a palindrome (334320222023433).

The spelling of 101200012021332 in words is "one hundred one trillion, two hundred billion, twelve million, twenty-one thousand, three hundred thirty-two".