101611040167 has 16 divisors (see below), whose sum is σ = 125077970752. Its totient is φ = 80383829760.

The previous prime is 101611040137. The next prime is 101611040171. The reversal of 101611040167 is 761040116101.

It is a de Polignac number, because none of the positive numbers 2^k-101611040167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101611040137) 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 15 ways as a sum of consecutive naturals, for example, 575317 + ... + 730897.

It is an arithmetic number, because the mean of its divisors is an integer number (7817373172).

Almost surely, 2^101611040167 is an apocalyptic number.

101611040167 is a deficient number, since it is larger than the sum of its proper divisors (23466930585).

101611040167 is a wasteful number, since it uses less digits than its factorization.

101611040167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162778.

The product of its (nonzero) digits is 1008, while the sum is 28.

Adding to 101611040167 its reverse (761040116101), we get a palindrome (862651156268).

The spelling of 101611040167 in words is "one hundred one billion, six hundred eleven million, forty thousand, one hundred sixty-seven".