101223101001121 has 16 divisors (see below), whose sum is σ = 111238086731328. Its totient is φ = 91343679091200.

The previous prime is 101223101001091. The next prime is 101223101001137. The reversal of 101223101001121 is 121100101322101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101223101001121 - 2¹³ = 101223100992929 is a prime.

It is a super-2 number, since 2×101223101001121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101223101001095 and 101223101001104.

It is not an unprimeable number, because it can be changed into a prime (101223101031121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22459606 + ... + 26587216.

It is an arithmetic number, because the mean of its divisors is an integer number (6952380420708).

Almost surely, 2^{101223101001121} is an apocalyptic number.

101223101001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101223101001121 is a deficient number, since it is larger than the sum of its proper divisors (10014985730207).

101223101001121 is a wasteful number, since it uses less digits than its factorization.

101223101001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144032.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 101223101001121 its reverse (121100101322101), we get a palindrome (222323202323222).

The spelling of 101223101001121 in words is "one hundred one trillion, two hundred twenty-three billion, one hundred one million, one thousand, one hundred twenty-one".