101333102400 has 252 divisors, whose sum is σ = 366069236364. Its totient is φ = 26578944000.

The previous prime is 101333102383. The next prime is 101333102407. The reversal of 101333102400 is 4201333101.

It can be written as a sum of positive squares in 6 ways, for example, as 4691702016 + 96641400384 = 68496^2 + 310872^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101333102407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 820720 + ... + 936080.

Almost surely, 2^101333102400 is an apocalyptic number.

101333102400 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 101333102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183034618182).

101333102400 is an abundant number, since it is smaller than the sum of its proper divisors (264736133964).

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

101333102400 is a wasteful number, since it uses less digits than its factorization.

101333102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115450 (or 115432 counting only the distinct ones).

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

Adding to 101333102400 its reverse (4201333101), we get a palindrome (105534435501).

The spelling of 101333102400 in words is "one hundred one billion, three hundred thirty-three million, one hundred two thousand, four hundred".