101600333400 has 192 divisors, whose sum is σ = 347988441600. Its totient is φ = 24390952960.

The previous prime is 101600333399. The next prime is 101600333413. The reversal of 101600333400 is 4333006101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18061 + ... + 451139.

It is an arithmetic number, because the mean of its divisors is an integer number (1812439800).

Almost surely, 2^101600333400 is an apocalyptic number.

101600333400 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 101600333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173994220800).

101600333400 is an abundant number, since it is smaller than the sum of its proper divisors (246388108200).

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

101600333400 is a wasteful number, since it uses less digits than its factorization.

101600333400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433138 (or 433129 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 101600333400 its reverse (4333006101), we get a palindrome (105933339501).

The spelling of 101600333400 in words is "one hundred one billion, six hundred million, three hundred thirty-three thousand, four hundred".