1002122101109 has 6 divisors (see below), whose sum is σ = 1037869620450. Its totient is φ = 967566165776.

The previous prime is 1002122101039. The next prime is 1002122101133. The reversal of 1002122101109 is 9011012212001.

It can be written as a sum of positive squares in 3 ways, for example, as 95669583025 + 906452518084 = 309305^2 + 952078^2 .

It is not a de Polignac number, because 1002122101109 - 2²⁸ = 1001853665653 is a prime.

It is a super-2 number, since 2×1002122101109² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002122101009) 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 in 5 ways as a sum of consecutive naturals, for example, 595791134 + ... + 595792815.

It is an arithmetic number, because the mean of its divisors is an integer number (172978270075).

Almost surely, 2^{1002122101109} is an apocalyptic number.

It is an amenable number.

1002122101109 is a deficient number, since it is larger than the sum of its proper divisors (35747519341).

1002122101109 is an equidigital number, since it uses as much as digits as its factorization.

1002122101109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191584007 (or 1191583978 counting only the distinct ones).

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

The spelling of 1002122101109 in words is "one trillion, two billion, one hundred twenty-two million, one hundred one thousand, one hundred nine".