1114641106201 has 16 divisors (see below), whose sum is σ = 1363649126400. Its totient is φ = 889781042448.

The previous prime is 1114641106171. The next prime is 1114641106237. The reversal of 1114641106201 is 1026011464111.

It is a cyclic number.

It is not a de Polignac number, because 1114641106201 - 2¹⁵ = 1114641073433 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1114641106201.

It is not an unprimeable number, because it can be changed into a prime (1114641106261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71015545 + ... + 71031238.

It is an arithmetic number, because the mean of its divisors is an integer number (85228070400).

Almost surely, 2^{1114641106201} is an apocalyptic number.

It is an amenable number.

1114641106201 is a deficient number, since it is larger than the sum of its proper divisors (249008020199).

1114641106201 is a wasteful number, since it uses less digits than its factorization.

1114641106201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142046868.

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 1114641106201 in words is "one trillion, one hundred fourteen billion, six hundred forty-one million, one hundred six thousand, two hundred one".