101221400 has 96 divisors (see below), whose sum is σ = 284847840. Its totient is φ = 32655360.

The previous prime is 101221399. The next prime is 101221427. The reversal of 101221400 is 4122101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21674 + ... + 25926.

It is an arithmetic number, because the mean of its divisors is an integer number (2967165).

Almost surely, 2^101221400 is an apocalyptic number.

101221400 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 101221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142423920).

101221400 is an abundant number, since it is smaller than the sum of its proper divisors (183626440).

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

101221400 is a wasteful number, since it uses less digits than its factorization.

101221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293 (or 4284 counting only the distinct ones).

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

The square root of 101221400 is about 10060.8846529517. The cubic root of 101221400 is about 466.0409868964.

Adding to 101221400 its reverse (4122101), we get a palindrome (105343501).

The spelling of 101221400 in words is "one hundred one million, two hundred twenty-one thousand, four hundred".