210101111101121 has 8 divisors (see below), whose sum is σ = 210696031188360. Its totient is φ = 209506587236352.

The previous prime is 210101111101109. The next prime is 210101111101153. The reversal of 210101111101121 is 121101111101012.

210101111101121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 89154763152400 + 120946347948721 = 9442180^2 + 10997561^2 .

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 210101111101121 - 2¹⁴ = 210101111084737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 210101111101096 and 210101111101105.

It is not an unprimeable number, because it can be changed into a prime (210101111100121) 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, 97993580 + ... + 100114653.

It is an arithmetic number, because the mean of its divisors is an integer number (26337003898545).

Almost surely, 2^{210101111101121} is an apocalyptic number.

It is an amenable number.

210101111101121 is a deficient number, since it is larger than the sum of its proper divisors (594920087239).

210101111101121 is a wasteful number, since it uses less digits than its factorization.

210101111101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198111235.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 210101111101121 its reverse (121101111101012), we get a palindrome (331202222202133).

The spelling of 210101111101121 in words is "two hundred ten trillion, one hundred one billion, one hundred eleven million, one hundred one thousand, one hundred twenty-one".