101121800 has 192 divisors, whose sum is σ = 281232000. Its totient is φ = 33454080.

The previous prime is 101121793. The next prime is 101121829. The reversal of 101121800 is 8121101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1136156 + ... + 1136244.

It is an arithmetic number, because the mean of its divisors is an integer number (1464750).

Almost surely, 2^101121800 is an apocalyptic number.

101121800 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 101121800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616000).

101121800 is an abundant number, since it is smaller than the sum of its proper divisors (180110200).

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

101121800 is a wasteful number, since it uses less digits than its factorization.

101121800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

The square root of 101121800 is about 10055.9335717774. The cubic root of 101121800 is about 465.8880781394. Note that the first 3 decimals are identical.

Adding to 101121800 its reverse (8121101), we get a palindrome (109242901).

The spelling of 101121800 in words is "one hundred one million, one hundred twenty-one thousand, eight hundred".