1002122000109 has 6 divisors (see below), whose sum is σ = 1447509555726. Its totient is φ = 668081333400.

The previous prime is 1002122000107. The next prime is 1002122000137. The reversal of 1002122000109 is 9010002212001.

1002122000109 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 670515322500 + 331606677609 = 818850^2 + 575853^2 .

It is not a de Polignac number, because 1002122000109 - 2¹ = 1002122000107 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1002122000091 and 1002122000100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002122000107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55673444442 + ... + 55673444459.

It is an arithmetic number, because the mean of its divisors is an integer number (241251592621).

Almost surely, 2^{1002122000109} is an apocalyptic number.

It is an amenable number.

1002122000109 is a deficient number, since it is larger than the sum of its proper divisors (445387555617).

1002122000109 is a wasteful number, since it uses less digits than its factorization.

1002122000109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111346888907 (or 111346888904 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 1002122000109 in words is "one trillion, two billion, one hundred twenty-two million, one hundred nine", and thus it is an aban number.