101167216905 has 16 divisors (see below), whose sum is σ = 161945305920. Its totient is φ = 53929929408.

The previous prime is 101167216883. The next prime is 101167216921. The reversal of 101167216905 is 509612761101.

It is not a de Polignac number, because 101167216905 - 2¹⁴ = 101167200521 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1587690 + ... + 1650179.

It is an arithmetic number, because the mean of its divisors is an integer number (10121581620).

Almost surely, 2^101167216905 is an apocalyptic number.

101167216905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101167216905 is a deficient number, since it is larger than the sum of its proper divisors (60778089015).

101167216905 is a wasteful number, since it uses less digits than its factorization.

101167216905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239960.

The product of its (nonzero) digits is 22680, while the sum is 39.

The spelling of 101167216905 in words is "one hundred one billion, one hundred sixty-seven million, two hundred sixteen thousand, nine hundred five".