1017121000106 has 8 divisors (see below), whose sum is σ = 1525686532740. Its totient is φ = 508558822528.

The previous prime is 1017121000097. The next prime is 1017121000109. The reversal of 1017121000106 is 6010001217101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1006942006225 + 10178993881 = 1003465^2 + 100891^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×1017121000106² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1017121000109) 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 3 ways as a sum of consecutive naturals, for example, 154280 + ... + 1434588.

Almost surely, 2^{1017121000106} is an apocalyptic number.

1017121000106 is a deficient number, since it is larger than the sum of its proper divisors (508565532634).

1017121000106 is a wasteful number, since it uses less digits than its factorization.

1017121000106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677528.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 1017121000106 its reverse (6010001217101), we get a palindrome (7027122217207).

The spelling of 1017121000106 in words is "one trillion, seventeen billion, one hundred twenty-one million, one hundred six", and thus it is an aban number.