242201101002 has 96 divisors (see below), whose sum is σ = 580581075456. Its totient is φ = 65967786720.

The previous prime is 242201101001. The next prime is 242201101027. The reversal of 242201101002 is 200101102242.

242201101002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242201101002² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242201101001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2659473 + ... + 2749035.

It is an arithmetic number, because the mean of its divisors is an integer number (6047719536).

Almost surely, 2^242201101002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242201101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290290537728).

242201101002 is an abundant number, since it is smaller than the sum of its proper divisors (338379974454).

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

242201101002 is a wasteful number, since it uses less digits than its factorization.

242201101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89704 (or 89673 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 242201101002 its reverse (200101102242), we get a palindrome (442302203244).

The spelling of 242201101002 in words is "two hundred forty-two billion, two hundred one million, one hundred one thousand, two".