120122212001101 has 8 divisors (see below), whose sum is σ = 127188327039480. Its totient is φ = 113056108359168.

The previous prime is 120122212001003. The next prime is 120122212001123. The reversal of 120122212001101 is 101100212221021.

It can be written as a sum of positive squares in 4 ways, for example, as 29979074349225 + 90143137651876 = 5475315^2 + 9494374^2 .

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 120122212001101 - 2³⁹ = 119572456187213 is a prime.

It is a super-2 number, since 2×120122212001101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120122212001161) 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, 29066295 + ... + 32940763.

It is an arithmetic number, because the mean of its divisors is an integer number (15898540879935).

Almost surely, 2^{120122212001101} is an apocalyptic number.

It is an amenable number.

120122212001101 is a deficient number, since it is larger than the sum of its proper divisors (7066115038379).

120122212001101 is a wasteful number, since it uses less digits than its factorization.

120122212001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5698223.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120122212001101 its reverse (101100212221021), we get a palindrome (221222424222122).

The spelling of 120122212001101 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred twelve million, one thousand, one hundred one".