101022122110121 has 8 divisors (see below), whose sum is σ = 103736760854664. Its totient is φ = 98341629765120.

The previous prime is 101022122110079. The next prime is 101022122110177. The reversal of 101022122110121 is 121011221220101.

It can be written as a sum of positive squares in 4 ways, for example, as 17227779204496 + 83794342905625 = 4150636^2 + 9153925^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101022122110121 - 2⁴² = 96624075599017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101022122110121.

It is not an unprimeable number, because it can be changed into a prime (101022122116121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8536593890 + ... + 8536605723.

It is an arithmetic number, because the mean of its divisors is an integer number (12967095106833).

Almost surely, 2^{101022122110121} is an apocalyptic number.

It is an amenable number.

101022122110121 is a deficient number, since it is larger than the sum of its proper divisors (2714638744543).

101022122110121 is an equidigital number, since it uses as much as digits as its factorization.

101022122110121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17073199771.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101022122110121 its reverse (121011221220101), we get a palindrome (222033343330222).

The spelling of 101022122110121 in words is "one hundred one trillion, twenty-two billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty-one".