21121120111097 has 2 divisors, whose sum is σ = 21121120111098. Its totient is φ = 21121120111096.

The previous prime is 21121120111061. The next prime is 21121120111103. The reversal of 21121120111097 is 79011102112112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11133093083641 + 9988027027456 = 3336629^2 + 3160384^2 .

It is a cyclic number.

It is not a de Polignac number, because 21121120111097 - 2¹⁴ = 21121120094713 is a prime.

It is a super-3 number, since 3×21121120111097³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (21121120101097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10560560055548 + 10560560055549.

It is an arithmetic number, because the mean of its divisors is an integer number (10560560055549).

Almost surely, 2^{21121120111097} is an apocalyptic number.

It is an amenable number.

21121120111097 is a deficient number, since it is larger than the sum of its proper divisors (1).

21121120111097 is an equidigital number, since it uses as much as digits as its factorization.

21121120111097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 29.

The spelling of 21121120111097 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twenty million, one hundred eleven thousand, ninety-seven".