101142200 has 24 divisors (see below), whose sum is σ = 235156080. Its totient is φ = 40456800.

The previous prime is 101142193. The next prime is 101142211. The reversal of 101142200 is 2241101.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 252656 + ... + 253055.

It is an arithmetic number, because the mean of its divisors is an integer number (9798170).

Almost surely, 2^101142200 is an apocalyptic number.

101142200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101142200 is an abundant number, since it is smaller than the sum of its proper divisors (134013880).

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

101142200 is a wasteful number, since it uses less digits than its factorization.

101142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505727 (or 505718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 101142200 is about 10056.9478471353. The cubic root of 101142200 is about 465.9194049742.

Adding to 101142200 its reverse (2241101), we get a palindrome (103383301).

The spelling of 101142200 in words is "one hundred one million, one hundred forty-two thousand, two hundred".