1107142642201 has 32 divisors (see below), whose sum is σ = 1197210861440. Its totient is φ = 1020453686784.

The previous prime is 1107142642171. The next prime is 1107142642213. The reversal of 1107142642201 is 1022462417011.

It is a happy number.

It is not a de Polignac number, because 1107142642201 - 2⁵ = 1107142642169 is a prime.

It is a super-2 number, since 2×1107142642201² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1107142642271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314795695 + ... + 314799211.

It is an arithmetic number, because the mean of its divisors is an integer number (37412839420).

Almost surely, 2^{1107142642201} is an apocalyptic number.

It is an amenable number.

1107142642201 is a deficient number, since it is larger than the sum of its proper divisors (90068219239).

1107142642201 is a wasteful number, since it uses less digits than its factorization.

1107142642201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985.

The product of its (nonzero) digits is 5376, while the sum is 31.

The spelling of 1107142642201 in words is "one trillion, one hundred seven billion, one hundred forty-two million, six hundred forty-two thousand, two hundred one".