101167216890 has 32 divisors (see below), whose sum is σ = 244430870400. Its totient is φ = 26796863424.

The previous prime is 101167216883. The next prime is 101167216921. The reversal of 101167216890 is 98612761101.

It is an unprimeable number.

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, 11311774 + ... + 11320713.

It is an arithmetic number, because the mean of its divisors is an integer number (7638464700).

Almost surely, 2^101167216890 is an apocalyptic number.

101167216890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101167216890 is an abundant number, since it is smaller than the sum of its proper divisors (143263653510).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101167216890 is a wasteful number, since it uses less digits than its factorization.

101167216890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22632646.

The product of its (nonzero) digits is 36288, while the sum is 42.

Adding to 101167216890 its reverse (98612761101), we get a palindrome (199779977991).

The spelling of 101167216890 in words is "one hundred one billion, one hundred sixty-seven million, two hundred sixteen thousand, eight hundred ninety".