242122020100 has 36 divisors (see below), whose sum is σ = 530821349044. Its totient is φ = 95850362880.

The previous prime is 242122020061. The next prime is 242122020103. The reversal of 242122020100 is 1020221242.

It can be written as a sum of positive squares in 6 ways, for example, as 12349432384 + 229772587716 = 111128^2 + 479346^2 .

It is not an unprimeable number, because it can be changed into a prime (242122020103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12470817 + ... + 12490216.

Almost surely, 2^242122020100 is an apocalyptic number.

242122020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242122020100 is an abundant number, since it is smaller than the sum of its proper divisors (288699328944).

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

242122020100 is a wasteful number, since it uses less digits than its factorization.

242122020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24961144 (or 24961137 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 242122020100 its reverse (1020221242), we get a palindrome (243142241342).

The spelling of 242122020100 in words is "two hundred forty-two billion, one hundred twenty-two million, twenty thousand, one hundred".