101211040121 has 2 divisors, whose sum is σ = 101211040122. Its totient is φ = 101211040120.

The previous prime is 101211040109. The next prime is 101211040123. The reversal of 101211040121 is 121040112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101210514496 + 525625 = 318136^2 + 725^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211040121 - 2¹⁴ = 101211023737 is a prime.

Together with 101211040123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101211040096 and 101211040105.

It is not a weakly prime, because it can be changed into another prime (101211040123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605520060 + 50605520061.

It is an arithmetic number, because the mean of its divisors is an integer number (50605520061).

Almost surely, 2^101211040121 is an apocalyptic number.

It is an amenable number.

101211040121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211040121 is an equidigital number, since it uses as much as digits as its factorization.

101211040121 is an evil number, because the sum of its binary digits is even.

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

Adding to 101211040121 its reverse (121040112101), we get a palindrome (222251152222).

The spelling of 101211040121 in words is "one hundred one billion, two hundred eleven million, forty thousand, one hundred twenty-one".