101223310221 has 24 divisors (see below), whose sum is σ = 159556391904. Its totient is φ = 61327078560.

The previous prime is 101223310213. The next prime is 101223310229. The reversal of 101223310221 is 122013322101.

101223310221 is a `hidden beast` number, since 10 + 122 + 3 + 310 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (101223310213) and next prime (101223310229).

It is not a de Polignac number, because 101223310221 - 2³ = 101223310213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101223310194 and 101223310203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101223310229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132330 + ... + 468996.

It is an arithmetic number, because the mean of its divisors is an integer number (6648182996).

Almost surely, 2^101223310221 is an apocalyptic number.

101223310221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101223310221 is a deficient number, since it is larger than the sum of its proper divisors (58333081683).

101223310221 is a wasteful number, since it uses less digits than its factorization.

101223310221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339721 (or 339718 counting only the distinct ones).

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

Adding to 101223310221 its reverse (122013322101), we get a palindrome (223236632322).

The spelling of 101223310221 in words is "one hundred one billion, two hundred twenty-three million, three hundred ten thousand, two hundred twenty-one".