101204242260 has 384 divisors, whose sum is σ = 321767147520. Its totient is φ = 23559321600.

The previous prime is 101204242241. The next prime is 101204242261. The reversal of 101204242260 is 62242402101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101204242260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101204242261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 559139370 + ... + 559139550.

It is an arithmetic number, because the mean of its divisors is an integer number (837935280).

Almost surely, 2^101204242260 is an apocalyptic number.

101204242260 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 101204242260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160883573760).

101204242260 is an abundant number, since it is smaller than the sum of its proper divisors (220562905260).

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

101204242260 is a wasteful number, since it uses less digits than its factorization.

101204242260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101204242260 its reverse (62242402101), we get a palindrome (163446644361).

The spelling of 101204242260 in words is "one hundred one billion, two hundred four million, two hundred forty-two thousand, two hundred sixty".