122101021211121 has 6 divisors (see below), whose sum is σ = 176368141749410. Its totient is φ = 81400680807408.

The previous prime is 122101021211101. The next prime is 122101021211179. The reversal of 122101021211121 is 121112120101221.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 100976150618721 + 21124870592400 = 10048689^2 + 4596180^2 .

It is not a de Polignac number, because 122101021211121 - 2²⁵ = 122100987656689 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122101021211094 and 122101021211103.

It is not an unprimeable number, because it can be changed into a prime (122101021211101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6783390067276 + ... + 6783390067293.

Almost surely, 2^{122101021211121} is an apocalyptic number.

It is an amenable number.

122101021211121 is a deficient number, since it is larger than the sum of its proper divisors (54267120538289).

122101021211121 is a wasteful number, since it uses less digits than its factorization.

122101021211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13566780134575 (or 13566780134572 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122101021211121 its reverse (121112120101221), we get a palindrome (243213141312342).

The spelling of 122101021211121 in words is "one hundred twenty-two trillion, one hundred one billion, twenty-one million, two hundred eleven thousand, one hundred twenty-one".