101223322101 has 36 divisors (see below), whose sum is σ = 160838496000. Its totient is φ = 61299097200.

The previous prime is 101223322063. The next prime is 101223322153.

101223322101 is a `hidden beast` number, since 1 + 0 + 122 + 332 + 210 + 1 = 666.

101223322101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101223322101 - 2⁷ = 101223321973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101223322201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1369900 + ... + 1441898.

It is an arithmetic number, because the mean of its divisors is an integer number (4467736000).

Almost surely, 2^101223322101 is an apocalyptic number.

101223322101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101223322101 is a deficient number, since it is larger than the sum of its proper divisors (59615173899).

101223322101 is a wasteful number, since it uses less digits than its factorization.

101223322101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73318 (or 73304 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 101223 and 322101, that added together give a palindrome (423324).

The spelling of 101223322101 in words is "one hundred one billion, two hundred twenty-three million, three hundred twenty-two thousand, one hundred one".