1017121000107 has 16 divisors (see below), whose sum is σ = 1356800000000. Its totient is φ = 677761426944.

The previous prime is 1017121000097. The next prime is 1017121000109. The reversal of 1017121000107 is 7010001217101.

1017121000107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1017121000107 - 2⁶ = 1017121000043 is a prime.

It is a super-2 number, since 2×1017121000107² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1017121000109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76763019 + ... + 76776267.

It is an arithmetic number, because the mean of its divisors is an integer number (84800000000).

Almost surely, 2^{1017121000107} is an apocalyptic number.

1017121000107 is a deficient number, since it is larger than the sum of its proper divisors (339678999893).

1017121000107 is a wasteful number, since it uses less digits than its factorization.

1017121000107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23370.

The product of its (nonzero) digits is 98, while the sum is 21.

Adding to 1017121000107 its reverse (7010001217101), we get a palindrome (8027122217208).

The spelling of 1017121000107 in words is "one trillion, seventeen billion, one hundred twenty-one million, one hundred seven", and thus it is an aban number.