100031222302032 has 640 divisors, whose sum is σ = 308722526208000. Its totient is φ = 27890279424000.

The previous prime is 100031222302013. The next prime is 100031222302127. The reversal of 100031222302032 is 230203222130001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83289943032 + ... + 83289944232.

It is an arithmetic number, because the mean of its divisors is an integer number (482378947200).

Almost surely, 2^{100031222302032} is an apocalyptic number.

100031222302032 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 100031222302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154361263104000).

100031222302032 is an abundant number, since it is smaller than the sum of its proper divisors (208691303905968).

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

100031222302032 is a wasteful number, since it uses less digits than its factorization.

100031222302032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 100031222302032 its reverse (230203222130001), we get a palindrome (330234444432033).

The spelling of 100031222302032 in words is "one hundred trillion, thirty-one billion, two hundred twenty-two million, three hundred two thousand, thirty-two".