101421221200 has 120 divisors (see below), whose sum is σ = 265114460408. Its totient is φ = 37061591040.

The previous prime is 101421221183. The next prime is 101421221227. The reversal of 101421221200 is 2122124101.

It can be written as a sum of positive squares in 12 ways, for example, as 48996707904 + 52424513296 = 221352^2 + 228964^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403864 + ... + 604936.

Almost surely, 2^101421221200 is an apocalyptic number.

101421221200 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 101421221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132557230204).

101421221200 is an abundant number, since it is smaller than the sum of its proper divisors (163693239208).

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

101421221200 is a wasteful number, since it uses less digits than its factorization.

101421221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201201 (or 201190 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101421221200 its reverse (2122124101), we get a palindrome (103543345301).

The spelling of 101421221200 in words is "one hundred one billion, four hundred twenty-one million, two hundred twenty-one thousand, two hundred".