2671205066101 has 32 divisors (see below), whose sum is σ = 3158931363840. Its totient is φ = 2226794803200.

The previous prime is 2671205066087. The next prime is 2671205066143. The reversal of 2671205066101 is 1016605021762.

It is a happy number.

It is not a de Polignac number, because 2671205066101 - 2¹³ = 2671205057909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671205066401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19499436 + ... + 19635946.

It is an arithmetic number, because the mean of its divisors is an integer number (98716605120).

Almost surely, 2^{2671205066101} is an apocalyptic number.

It is an amenable number.

2671205066101 is a deficient number, since it is larger than the sum of its proper divisors (487726297739).

2671205066101 is a wasteful number, since it uses less digits than its factorization.

2671205066101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137437.

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 2671205066101 in words is "two trillion, six hundred seventy-one billion, two hundred five million, sixty-six thousand, one hundred one".