1000102021117 has 2 divisors, whose sum is σ = 1000102021118. Its totient is φ = 1000102021116.

The previous prime is 1000102021097. The next prime is 1000102021147. The reversal of 1000102021117 is 7111202010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 957591416356 + 42510604761 = 978566^2 + 206181^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000102021117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000102021117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000102021147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500051010558 + 500051010559.

It is an arithmetic number, because the mean of its divisors is an integer number (500051010559).

Almost surely, 2^{1000102021117} is an apocalyptic number.

It is an amenable number.

1000102021117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000102021117 is an equidigital number, since it uses as much as digits as its factorization.

1000102021117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 1000102021117 its reverse (7111202010001), we get a palindrome (8111304031118).

The spelling of 1000102021117 in words is "one trillion, one hundred two million, twenty-one thousand, one hundred seventeen".