1011007201217 has 8 divisors (see below), whose sum is σ = 1094859541440. Its totient is φ = 928023797520.

The previous prime is 1011007201181. The next prime is 1011007201219. The reversal of 1011007201217 is 7121027001101.

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

It is a cyclic number.

It is not a de Polignac number, because 1011007201217 - 2⁸ = 1011007200961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011007201192 and 1011007201201.

It is not an unprimeable number, because it can be changed into a prime (1011007201219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217231709 + ... + 217236362.

It is an arithmetic number, because the mean of its divisors is an integer number (136857442680).

Almost surely, 2^{1011007201217} is an apocalyptic number.

It is an amenable number.

1011007201217 is a deficient number, since it is larger than the sum of its proper divisors (83852340223).

1011007201217 is a wasteful number, since it uses less digits than its factorization.

1011007201217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434468263.

The product of its (nonzero) digits is 196, while the sum is 23.

The spelling of 1011007201217 in words is "one trillion, eleven billion, seven million, two hundred one thousand, two hundred seventeen".