2211251101121 has 2 divisors, whose sum is σ = 2211251101122. Its totient is φ = 2211251101120.

The previous prime is 2211251101099. The next prime is 2211251101139. The reversal of 2211251101121 is 1211011521122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2174117811121 + 37133290000 = 1474489^2 + 192700^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211251101121 - 2⁶ = 2211251101057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2211251101093 and 2211251101102.

It is not a weakly prime, because it can be changed into another prime (2211251101151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105625550560 + 1105625550561.

It is an arithmetic number, because the mean of its divisors is an integer number (1105625550561).

Almost surely, 2^{2211251101121} is an apocalyptic number.

It is an amenable number.

2211251101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211251101121 is an equidigital number, since it uses as much as digits as its factorization.

2211251101121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 80, while the sum is 20.

Adding to 2211251101121 its reverse (1211011521122), we get a palindrome (3422262622243).

The spelling of 2211251101121 in words is "two trillion, two hundred eleven billion, two hundred fifty-one million, one hundred one thousand, one hundred twenty-one".