2210101121009 has 2 divisors, whose sum is σ = 2210101121010. Its totient is φ = 2210101121008.

The previous prime is 2210101120987. The next prime is 2210101121131. The reversal of 2210101121009 is 9001211010122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2133142038784 + 76959082225 = 1460528^2 + 277415^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210101121009 - 2¹² = 2210101116913 is a prime.

It is a super-2 number, since 2×2210101121009² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2210101121309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105050560504 + 1105050560505.

It is an arithmetic number, because the mean of its divisors is an integer number (1105050560505).

Almost surely, 2^{2210101121009} is an apocalyptic number.

It is an amenable number.

2210101121009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210101121009 is an equidigital number, since it uses as much as digits as its factorization.

2210101121009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 2210101121009 in words is "two trillion, two hundred ten billion, one hundred one million, one hundred twenty-one thousand, nine".