101443322100 has 144 divisors (see below), whose sum is σ = 297345343680. Its totient is φ = 26698675200.

The previous prime is 101443322093. The next prime is 101443322107. The reversal of 101443322100 is 1223344101.

101443322100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101443322093) and next prime (101443322107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101443322107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41556880 + ... + 41559320.

It is an arithmetic number, because the mean of its divisors is an integer number (2064898220).

Almost surely, 2^101443322100 is an apocalyptic number.

101443322100 is a gapful number since it is divisible by the number (10) 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 101443322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148672671840).

101443322100 is an abundant number, since it is smaller than the sum of its proper divisors (195902021580).

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

101443322100 is a wasteful number, since it uses less digits than its factorization.

101443322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101443322100 its reverse (1223344101), we get a palindrome (102666666201).

The spelling of 101443322100 in words is "one hundred one billion, four hundred forty-three million, three hundred twenty-two thousand, one hundred".