242201204020100 has 72 divisors (see below), whose sum is σ = 566051262541128. Its totient is φ = 89420919552000.

The previous prime is 242201204020099. The next prime is 242201204020123. The reversal of 242201204020100 is 1020402102242.

It can be written as a sum of positive squares in 12 ways, for example, as 98203700009284 + 143997504010816 = 9909778^2 + 11999896^2 .

It is a super-2 number, since 2×242201204020100² (a number of 30 digits) contains 22 as substring.

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, 8609462 + ... + 23633138.

It is an arithmetic number, because the mean of its divisors is an integer number (7861823090849).

Almost surely, 2^{242201204020100} is an apocalyptic number.

242201204020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242201204020100 is an abundant number, since it is smaller than the sum of its proper divisors (323850058521028).

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

242201204020100 is a wasteful number, since it uses less digits than its factorization.

242201204020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15036105 (or 15036098 counting only the distinct ones).

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

Adding to 242201204020100 its reverse (1020402102242), we get a palindrome (243221606122342).

The spelling of 242201204020100 in words is "two hundred forty-two trillion, two hundred one billion, two hundred four million, twenty thousand, one hundred".