1000102009101 has 16 divisors (see below), whose sum is σ = 1436097324480. Its totient is φ = 615424498560.

The previous prime is 1000102009079. The next prime is 1000102009111. The reversal of 1000102009101 is 1019002010001.

It is not a de Polignac number, because 1000102009101 - 2⁷ = 1000102008973 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000102009111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616806 + ... + 1542936.

It is an arithmetic number, because the mean of its divisors is an integer number (89756082780).

Almost surely, 2^{1000102009101} is an apocalyptic number.

It is an amenable number.

1000102009101 is a deficient number, since it is larger than the sum of its proper divisors (435995315379).

1000102009101 is a wasteful number, since it uses less digits than its factorization.

1000102009101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953836.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1000102009101 its reverse (1019002010001), we get a palindrome (2019104019102).

The spelling of 1000102009101 in words is "one trillion, one hundred two million, nine thousand, one hundred one".