210111100101121 has 2 divisors, whose sum is σ = 210111100101122. Its totient is φ = 210111100101120.

The previous prime is 210111100101103. The next prime is 210111100101139. The reversal of 210111100101121 is 121101001111012.

It is a balanced prime because it is at equal distance from previous prime (210111100101103) and next prime (210111100101139).

It can be written as a sum of positive squares in only one way, i.e., 113758009747600 + 96353090353521 = 10665740^2 + 9815961^2 .

It is a cyclic number.

It is not a de Polignac number, because 210111100101121 - 2⁴¹ = 207912076845569 is a prime.

It is not a weakly prime, because it can be changed into another prime (210111100101521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105055550050560 + 105055550050561.

It is an arithmetic number, because the mean of its divisors is an integer number (105055550050561).

Almost surely, 2^{210111100101121} is an apocalyptic number.

It is an amenable number.

210111100101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

210111100101121 is an equidigital number, since it uses as much as digits as its factorization.

210111100101121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 210111100101121 its reverse (121101001111012), we get a palindrome (331212101212133).

The spelling of 210111100101121 in words is "two hundred ten trillion, one hundred eleven billion, one hundred million, one hundred one thousand, one hundred twenty-one".