100101821244832 has 192 divisors, whose sum is σ = 220493284945920. Its totient is φ = 44351124480000.

The previous prime is 100101821244811. The next prime is 100101821244853. The reversal of 100101821244832 is 238442128101001.

It is an interprime number because it is at equal distance from previous prime (100101821244811) and next prime (100101821244853).

It is a junction number, because it is equal to n+sod(n) for n = 100101821244791 and 100101821244800.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1162404208 + ... + 1162490320.

It is an arithmetic number, because the mean of its divisors is an integer number (1148402525760).

Almost surely, 2^{100101821244832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101821244832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110246642472960).

100101821244832 is an abundant number, since it is smaller than the sum of its proper divisors (120391463701088).

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

100101821244832 is a wasteful number, since it uses less digits than its factorization.

100101821244832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86667 (or 86659 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

Adding to 100101821244832 its reverse (238442128101001), we get a palindrome (338543949345833).

The spelling of 100101821244832 in words is "one hundred trillion, one hundred one billion, eight hundred twenty-one million, two hundred forty-four thousand, eight hundred thirty-two".