101202121112121 has 6 divisors (see below), whose sum is σ = 146180841606410. Its totient is φ = 67468080741408.

The previous prime is 101202121112111. The next prime is 101202121112143. The reversal of 101202121112121 is 121211121202101.

It is a happy number.

101202121112121 is a `hidden beast` number, since 10 + 120 + 212 + 111 + 212 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93214776848400 + 7987344263721 = 9654780^2 + 2826189^2 .

It is not a de Polignac number, because 101202121112121 - 2¹¹ = 101202121110073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101202121112094 and 101202121112103.

It is not an unprimeable number, because it can be changed into a prime (101202121112111) 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, 5622340061776 + ... + 5622340061793.

Almost surely, 2^{101202121112121} is an apocalyptic number.

It is an amenable number.

101202121112121 is a deficient number, since it is larger than the sum of its proper divisors (44978720494289).

101202121112121 is a wasteful number, since it uses less digits than its factorization.

101202121112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11244680123575 (or 11244680123572 counting only the distinct ones).

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

Adding to 101202121112121 its reverse (121211121202101), we get a palindrome (222413242314222).

The spelling of 101202121112121 in words is "one hundred one trillion, two hundred two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty-one".