101221123121 has 16 divisors (see below), whose sum is σ = 109807660368. Its totient is φ = 92927846400.

The previous prime is 101221123117. The next prime is 101221123139. The reversal of 101221123121 is 121321122101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10596643600 + 90624479521 = 102940^2 + 301039^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221123121 - 2² = 101221123117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101221123121.

It is not an unprimeable number, because it can be changed into a prime (101221123111) 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 15 ways as a sum of consecutive naturals, for example, 7557851 + ... + 7571231.

It is an arithmetic number, because the mean of its divisors is an integer number (6862978773).

Almost surely, 2^101221123121 is an apocalyptic number.

It is an amenable number.

101221123121 is a deficient number, since it is larger than the sum of its proper divisors (8586537247).

101221123121 is a wasteful number, since it uses less digits than its factorization.

101221123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24292.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101221123121 its reverse (121321122101), we get a palindrome (222542245222).

The spelling of 101221123121 in words is "one hundred one billion, two hundred twenty-one million, one hundred twenty-three thousand, one hundred twenty-one".