101224141398 has 80 divisors (see below), whose sum is σ = 236813591520. Its totient is φ = 32255967744.

The previous prime is 101224141393. The next prime is 101224141399. The reversal of 101224141398 is 893141422101.

101224141398 is a `hidden beast` number, since 1 + 0 + 1 + 224 + 1 + 41 + 398 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101224141393) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7508608 + ... + 7522076.

It is an arithmetic number, because the mean of its divisors is an integer number (2960169894).

Almost surely, 2^101224141398 is an apocalyptic number.

101224141398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101224141398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118406795760).

101224141398 is an abundant number, since it is smaller than the sum of its proper divisors (135589450122).

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

101224141398 is a wasteful number, since it uses less digits than its factorization.

101224141398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15523 (or 15514 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 101224141398 its reverse (893141422101), we get a palindrome (994365563499).

The spelling of 101224141398 in words is "one hundred one billion, two hundred twenty-four million, one hundred forty-one thousand, three hundred ninety-eight".