100131132332022 has 512 divisors, whose sum is σ = 243184438757376. Its totient is φ = 27145617408000.

The previous prime is 100131132332017. The next prime is 100131132332027. The reversal of 100131132332022 is 220233231131001.

It is an interprime number because it is at equal distance from previous prime (100131132332017) and next prime (100131132332027).

It is a junction number, because it is equal to n+sod(n) for n = 100131132331983 and 100131132332001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131132332027) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 60066665233 + ... + 60066666899.

It is an arithmetic number, because the mean of its divisors is an integer number (474969606948).

Almost surely, 2^{100131132332022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100131132332022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121592219378688).

100131132332022 is an abundant number, since it is smaller than the sum of its proper divisors (143053306425354).

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

100131132332022 is a wasteful number, since it uses less digits than its factorization.

100131132332022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 100131132332022 its reverse (220233231131001), we get a palindrome (320364363463023).

It can be divided in two parts, 1001311 and 32332022, that added together give a palindrome (33333333).

The spelling of 100131132332022 in words is "one hundred trillion, one hundred thirty-one billion, one hundred thirty-two million, three hundred thirty-two thousand, twenty-two".