4102201200114 has 64 divisors (see below), whose sum is σ = 9561637958400. Its totient is φ = 1301171198976.

The previous prime is 4102201200107. The next prime is 4102201200131. The reversal of 4102201200114 is 4110021022014.

4102201200114 is a `hidden beast` number, since 410 + 2 + 20 + 120 + 0 + 114 = 666.

It is a super-2 number, since 2×4102201200114² (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 8317029 + ... + 8796440.

It is an arithmetic number, because the mean of its divisors is an integer number (149400593100).

Almost surely, 2^{4102201200114} is an apocalyptic number.

4102201200114 is an abundant number, since it is smaller than the sum of its proper divisors (5459436758286).

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

4102201200114 is a wasteful number, since it uses less digits than its factorization.

4102201200114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17113696 (or 17113690 counting only the distinct ones).

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

Adding to 4102201200114 its reverse (4110021022014), we get a palindrome (8212222222128).

The spelling of 4102201200114 in words is "four trillion, one hundred two billion, two hundred one million, two hundred thousand, one hundred fourteen".