101224420400 has 120 divisors (see below), whose sum is σ = 245577999264. Its totient is φ = 40094208000.

The previous prime is 101224420379. The next prime is 101224420417. The reversal of 101224420400 is 4024422101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20352314 + ... + 20357286.

Almost surely, 2^101224420400 is an apocalyptic number.

101224420400 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 101224420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122788999632).

101224420400 is an abundant number, since it is smaller than the sum of its proper divisors (144353578864).

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

101224420400 is a wasteful number, since it uses less digits than its factorization.

101224420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479 (or 5468 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 101224420400 its reverse (4024422101), we get a palindrome (105248842501).

The spelling of 101224420400 in words is "one hundred one billion, two hundred twenty-four million, four hundred twenty thousand, four hundred".