1000302100101 has 6 divisors (see below), whose sum is σ = 1444880811270. Its totient is φ = 666868066728.

The previous prime is 1000302100067. The next prime is 1000302100121. The reversal of 1000302100101 is 1010012030001.

It can be written as a sum of positive squares in only one way, i.e., 682656012900 + 317646087201 = 826230^2 + 563601^2 .

It is not a de Polignac number, because 1000302100101 - 2¹³ = 1000302091909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111144677789 = 1000302100101 / (1 + 0 + 0 + 0 + 3 + 0 + 2 + 1 + 0 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000302100121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55572338886 + ... + 55572338903.

It is an arithmetic number, because the mean of its divisors is an integer number (240813468545).

Almost surely, 2^{1000302100101} is an apocalyptic number.

It is an amenable number.

1000302100101 is a deficient number, since it is larger than the sum of its proper divisors (444578711169).

1000302100101 is a wasteful number, since it uses less digits than its factorization.

1000302100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111144677795 (or 111144677792 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1000302100101 its reverse (1010012030001), we get a palindrome (2010314130102).

The spelling of 1000302100101 in words is "one trillion, three hundred two million, one hundred thousand, one hundred one".