2101022002109 has 2 divisors, whose sum is σ = 2101022002110. Its totient is φ = 2101022002108.

The previous prime is 2101022002091. The next prime is 2101022002133. The reversal of 2101022002109 is 9012002201012.

It is a happy number.

Together with previous prime (2101022002091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2100789348100 + 232654009 = 1449410^2 + 15253^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101022002109 - 2²⁴ = 2101005224893 is a prime.

It is a super-2 number, since 2×2101022002109² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101022002139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050511001054 + 1050511001055.

It is an arithmetic number, because the mean of its divisors is an integer number (1050511001055).

Almost surely, 2^{2101022002109} is an apocalyptic number.

It is an amenable number.

2101022002109 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101022002109 is an equidigital number, since it uses as much as digits as its factorization.

2101022002109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 2101022002109 in words is "two trillion, one hundred one billion, twenty-two million, two thousand, one hundred nine".