101122221022101 has 8 divisors (see below), whose sum is σ = 149810697810560. Its totient is φ = 67414814014716.

The previous prime is 101122221022063. The next prime is 101122221022117. The reversal of 101122221022101 is 101220122221101.

101122221022101 is a `hidden beast` number, since 1 + 0 + 11 + 222 + 210 + 221 + 0 + 1 = 666.

It is not a de Polignac number, because 101122221022101 - 2¹⁰ = 101122221021077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122221022181) 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 7 ways as a sum of consecutive naturals, for example, 1872633722605 + ... + 1872633722658.

It is an arithmetic number, because the mean of its divisors is an integer number (18726337226320).

Almost surely, 2^{101122221022101} is an apocalyptic number.

It is an amenable number.

101122221022101 is a deficient number, since it is larger than the sum of its proper divisors (48688476788459).

101122221022101 is an equidigital number, since it uses as much as digits as its factorization.

101122221022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745267445272 (or 3745267445266 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101122221022101 its reverse (101220122221101), we get a palindrome (202342343243202).

The spelling of 101122221022101 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty-one million, twenty-two thousand, one hundred one".