122101101 has 10 divisors (see below), whose sum is σ = 182398062. Its totient is φ = 81400680.

The previous prime is 122101099. The next prime is 122101117. The reversal of 122101101 is 101101221.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 100701225 + 21399876 = 10035^2 + 4626^2 .

It is not a de Polignac number, because 122101101 - 2¹ = 122101099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101121) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 753630 + ... + 753791.

Almost surely, 2^122101101 is an apocalyptic number.

It is an amenable number.

122101101 is a deficient number, since it is larger than the sum of its proper divisors (60296961).

122101101 is an equidigital number, since it uses as much as digits as its factorization.

122101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507433 (or 1507424 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 122101101 is about 11049.9366966513. The cubic root of 122101101 is about 496.1045307893.

Adding to 122101101 its reverse (101101221), we get a palindrome (223202322).

The spelling of 122101101 in words is "one hundred twenty-two million, one hundred one thousand, one hundred one".