10331201122002 has 48 divisors (see below), whose sum is σ = 22989621739032. Its totient is φ = 3350605547520.

The previous prime is 10331201121937. The next prime is 10331201122009. The reversal of 10331201122002 is 20022110213301.

10331201122002 is a `hidden beast` number, since 1 + 0 + 331 + 20 + 112 + 200 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6620488526961 + 3710712595041 = 2573031^2 + 1926321^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10331201122009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72603508 + ... + 72745664.

Almost surely, 2^{10331201122002} is an apocalyptic number.

10331201122002 is an abundant number, since it is smaller than the sum of its proper divisors (12658420617030).

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

10331201122002 is a wasteful number, since it uses less digits than its factorization.

10331201122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251323 (or 251320 counting only the distinct ones).

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

Adding to 10331201122002 its reverse (20022110213301), we get a palindrome (30353311335303).

The spelling of 10331201122002 in words is "ten trillion, three hundred thirty-one billion, two hundred one million, one hundred twenty-two thousand, two".