1001401400117 has 2 divisors, whose sum is σ = 1001401400118. Its totient is φ = 1001401400116.

The previous prime is 1001401400081. The next prime is 1001401400123. The reversal of 1001401400117 is 7110041041001.

It is a happy number.

1001401400117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 998322703921 + 3078696196 = 999161^2 + 55486^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001401400117 - 2¹⁰ = 1001401399093 is a prime.

It is a super-2 number, since 2×1001401400117² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001401400137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500700700058 + 500700700059.

It is an arithmetic number, because the mean of its divisors is an integer number (500700700059).

Almost surely, 2^{1001401400117} is an apocalyptic number.

It is an amenable number.

1001401400117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001401400117 is an equidigital number, since it uses as much as digits as its factorization.

1001401400117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 1001401400117 its reverse (7110041041001), we get a palindrome (8111442441118).

The spelling of 1001401400117 in words is "one trillion, one billion, four hundred one million, four hundred thousand, one hundred seventeen".