121122000211001 has 2 divisors, whose sum is σ = 121122000211002. Its totient is φ = 121122000211000.

The previous prime is 121122000210979. The next prime is 121122000211021. The reversal of 121122000211001 is 100112000221121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79989787577401 + 41132212633600 = 8943701^2 + 6413440^2 .

It is a cyclic number.

It is not a de Polignac number, because 121122000211001 - 2¹⁸ = 121121999948857 is a prime.

It is a super-4 number, since 4×121122000211001⁴ (a number of 57 digits) contains 4444 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 (121122000211021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60561000105500 + 60561000105501.

It is an arithmetic number, because the mean of its divisors is an integer number (60561000105501).

Almost surely, 2^{121122000211001} is an apocalyptic number.

It is an amenable number.

121122000211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

121122000211001 is an equidigital number, since it uses as much as digits as its factorization.

121122000211001 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 121122000211001 its reverse (100112000221121), we get a palindrome (221234000432122).

The spelling of 121122000211001 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred eleven thousand, one".