1201014004111 has 16 divisors (see below), whose sum is σ = 1235756860416. Its totient is φ = 1166722386336.

The previous prime is 1201014004093. The next prime is 1201014004133. The reversal of 1201014004111 is 1114004101021.

It is a cyclic number.

It is not a de Polignac number, because 1201014004111 - 2²⁵ = 1200980449679 is a prime.

It is a super-3 number, since 3×1201014004111³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201014004181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42691696 + ... + 42719818.

It is an arithmetic number, because the mean of its divisors is an integer number (77234803776).

Almost surely, 2^{1201014004111} is an apocalyptic number.

1201014004111 is a deficient number, since it is larger than the sum of its proper divisors (34742856305).

1201014004111 is a wasteful number, since it uses less digits than its factorization.

1201014004111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36102.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1201014004111 its reverse (1114004101021), we get a palindrome (2315018105132).

The spelling of 1201014004111 in words is "one trillion, two hundred one billion, fourteen million, four thousand, one hundred eleven".