1000606110101 has 64 divisors (see below), whose sum is σ = 1187524800000. Its totient is φ = 834745347072.

The previous prime is 1000606110067. The next prime is 1000606110103. The reversal of 1000606110101 is 1010116060001.

1000606110101 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 1000606110101 - 2¹⁴ = 1000606093717 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000606110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000606110103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210253160 + ... + 210257918.

It is an arithmetic number, because the mean of its divisors is an integer number (18555075000).

Almost surely, 2^{1000606110101} is an apocalyptic number.

It is an amenable number.

1000606110101 is a deficient number, since it is larger than the sum of its proper divisors (186918689899).

1000606110101 is a wasteful number, since it uses less digits than its factorization.

1000606110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5166.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 1000606110101 in words is "one trillion, six hundred six million, one hundred ten thousand, one hundred one".