101921200 has 30 divisors (see below), whose sum is σ = 244866644. Its totient is φ = 40768320.

The previous prime is 101921161. The next prime is 101921219. The reversal of 101921200 is 2129101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 127002 + ... + 127801.

Almost surely, 2^101921200 is an apocalyptic number.

101921200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101921200 is an abundant number, since it is smaller than the sum of its proper divisors (142945444).

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

101921200 is a wasteful number, since it uses less digits than its factorization.

101921200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254821 (or 254810 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 101921200 is about 10095.6030032881. The cubic root of 101921200 is about 467.1125217386.

The spelling of 101921200 in words is "one hundred one million, nine hundred twenty-one thousand, two hundred".