242111404100 has 72 divisors (see below), whose sum is σ = 566782739208. Its totient is φ = 89428019200.

The previous prime is 242111404097. The next prime is 242111404109. The reversal of 242111404100 is 1404111242.

It can be written as a sum of positive squares in 12 ways, for example, as 11396416516 + 230714987584 = 106754^2 + 480328^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (242111404109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1253471 + ... + 1433670.

It is an arithmetic number, because the mean of its divisors is an integer number (7871982489).

Almost surely, 2^242111404100 is an apocalyptic number.

242111404100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242111404100 is an abundant number, since it is smaller than the sum of its proper divisors (324671335108).

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

242111404100 is a wasteful number, since it uses less digits than its factorization.

242111404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687225 (or 2687218 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 242111404100 its reverse (1404111242), we get a palindrome (243515515342).

The spelling of 242111404100 in words is "two hundred forty-two billion, one hundred eleven million, four hundred four thousand, one hundred".