122101102002101 has 4 divisors (see below), whose sum is σ = 123310023804204. Its totient is φ = 120892180200000.

The previous prime is 122101102002091. The next prime is 122101102002157. The reversal of 122101102002101 is 101200201101221.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 108059039571025 + 14042062431076 = 10395145^2 + 3747274^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122101102002101 is a prime.

It is a super-2 number, since 2×122101102002101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101102001101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 604460900900 + ... + 604460901101.

It is an arithmetic number, because the mean of its divisors is an integer number (30827505951051).

Almost surely, 2^{122101102002101} is an apocalyptic number.

It is an amenable number.

122101102002101 is a deficient number, since it is larger than the sum of its proper divisors (1208921802103).

122101102002101 is a wasteful number, since it uses less digits than its factorization.

122101102002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208921802102.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122101102002101 its reverse (101200201101221), we get a palindrome (223301303103322).

The spelling of 122101102002101 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred two million, two thousand, one hundred one".