101433320010 has 768 divisors, whose sum is σ = 332862566400. Its totient is φ = 21946982400.

The previous prime is 101433319987. The next prime is 101433320033. The reversal of 101433320010 is 10023334101.

It is an interprime number because it is at equal distance from previous prime (101433319987) and next prime (101433320033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1045704282 + ... + 1045704378.

It is an arithmetic number, because the mean of its divisors is an integer number (433414800).

Almost surely, 2^101433320010 is an apocalyptic number.

101433320010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101433320010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166431283200).

101433320010 is an abundant number, since it is smaller than the sum of its proper divisors (231429246390).

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

101433320010 is a wasteful number, since it uses less digits than its factorization.

101433320010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

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

Adding to 101433320010 its reverse (10023334101), we get a palindrome (111456654111).

The spelling of 101433320010 in words is "one hundred one billion, four hundred thirty-three million, three hundred twenty thousand, ten".