100131000332202 has 144 divisors (see below), whose sum is σ = 263390139148032. Its totient is φ = 27360162244800.

The previous prime is 100131000332201. The next prime is 100131000332203. The reversal of 100131000332202 is 202233000131001.

100131000332202 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 310 + 0 + 0 + 332 + 20 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (100131000332201) and next prime (100131000332203).

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 (100131000332201) 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 71 ways as a sum of consecutive naturals, for example, 115217583 + ... + 116083389.

It is an arithmetic number, because the mean of its divisors is an integer number (1829098188528).

Almost surely, 2^{100131000332202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100131000332202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131695069574016).

100131000332202 is an abundant number, since it is smaller than the sum of its proper divisors (163259138815830).

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

100131000332202 is a wasteful number, since it uses less digits than its factorization.

100131000332202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871553 (or 871543 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100131000332202 its reverse (202233000131001), we get a palindrome (302364000463203).

The spelling of 100131000332202 in words is "one hundred trillion, one hundred thirty-one billion, three hundred thirty-two thousand, two hundred two".