1011006561103 has 32 divisors (see below), whose sum is σ = 1342802442240. Its totient is φ = 737342235360.

The previous prime is 1011006561101. The next prime is 1011006561127. The reversal of 1011006561103 is 3011656001101.

It is a cyclic number.

It is not a de Polignac number, because 1011006561103 - 2¹ = 1011006561101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011006561101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4041525 + ... + 4284382.

It is an arithmetic number, because the mean of its divisors is an integer number (41962576320).

Almost surely, 2^{1011006561103} is an apocalyptic number.

1011006561103 is a deficient number, since it is larger than the sum of its proper divisors (331795881137).

1011006561103 is a wasteful number, since it uses less digits than its factorization.

1011006561103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8326027.

The product of its (nonzero) digits is 540, while the sum is 25.

The spelling of 1011006561103 in words is "one trillion, eleven billion, six million, five hundred sixty-one thousand, one hundred three".