100012333101332 has 12 divisors (see below), whose sum is σ = 176033268378996. Its totient is φ = 49717113564480.

The previous prime is 100012333101301. The next prime is 100012333101361. The reversal of 100012333101332 is 233101333210001.

100012333101332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 89760579330436 + 10251753770896 = 9474206^2 + 3201836^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100012333101298 and 100012333101307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72263245769 + ... + 72263247152.

It is an arithmetic number, because the mean of its divisors is an integer number (14669439031583).

Almost surely, 2^{100012333101332} is an apocalyptic number.

It is an amenable number.

100012333101332 is a deficient number, since it is larger than the sum of its proper divisors (76020935277664).

100012333101332 is a wasteful number, since it uses less digits than its factorization.

100012333101332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144526493098 (or 144526493096 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 100012333101332 its reverse (233101333210001), we get a palindrome (333113666311333).

The spelling of 100012333101332 in words is "one hundred trillion, twelve billion, three hundred thirty-three million, one hundred one thousand, three hundred thirty-two".