101051601600 has 168 divisors, whose sum is σ = 331685635840. Its totient is φ = 26934727680.

The previous prime is 101051601557. The next prime is 101051601647. The reversal of 101051601600 is 6106150101.

It is a super-2 number, since 2×101051601600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15928029 + ... + 15934371.

Almost surely, 2^101051601600 is an apocalyptic number.

101051601600 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 101051601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165842817920).

101051601600 is an abundant number, since it is smaller than the sum of its proper divisors (230634034240).

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

101051601600 is a wasteful number, since it uses less digits than its factorization.

101051601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9687 (or 9672 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 101051601600 its reverse (6106150101), we get a palindrome (107157751701).

The spelling of 101051601600 in words is "one hundred one billion, fifty-one million, six hundred one thousand, six hundred".