1018262628101 has 8 divisors (see below), whose sum is σ = 1098503080344. Its totient is φ = 940282470400.

The previous prime is 1018262628083. The next prime is 1018262628133.

1018262628101 is nontrivially palindromic in base 10.

1018262628101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1009090²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 734061687076 + 284200941025 = 856774^2 + 533105^2 .

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 1018262628101 - 2⁶ = 1018262628037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1018262628401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 565072700 + ... + 565074501.

It is an arithmetic number, because the mean of its divisors is an integer number (137312885043).

Almost surely, 2^{1018262628101} is an apocalyptic number.

It is an amenable number.

1018262628101 is a deficient number, since it is larger than the sum of its proper divisors (80240452243).

1018262628101 is a wasteful number, since it uses less digits than its factorization.

1018262628101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130147271.

The product of its (nonzero) digits is 18432, while the sum is 38.

The spelling of 1018262628101 in words is "one trillion, eighteen billion, two hundred sixty-two million, six hundred twenty-eight thousand, one hundred one".