1242201104100 has 432 divisors, whose sum is σ = 4414127477760. Its totient is φ = 300508444800.

The previous prime is 1242201104033. The next prime is 1242201104173. The reversal of 1242201104100 is 14011022421.

1242201104100 is a `hidden beast` number, since 1 + 2 + 42 + 201 + 10 + 410 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134447281 + ... + 134456519.

It is an arithmetic number, because the mean of its divisors is an integer number (10217887680).

Almost surely, 2^{1242201104100} is an apocalyptic number.

1242201104100 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 1242201104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207063738880).

1242201104100 is an abundant number, since it is smaller than the sum of its proper divisors (3171926373660).

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

1242201104100 is a wasteful number, since it uses less digits than its factorization.

1242201104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9782 (or 9763 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1242201104100 its reverse (14011022421), we get a palindrome (1256212126521).

The spelling of 1242201104100 in words is "one trillion, two hundred forty-two billion, two hundred one million, one hundred four thousand, one hundred".