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1001121002173 is a prime number
BaseRepresentation
bin11101001000101110111…
…01100011001010111101
310112201001211210020101001
432210113131203022331
5112400243434032143
62043524133250301
7132220466053645
oct16442735431275
93481054706331
101001121002173
11356633785476
12142035493991
13735365c0b36
1436651291525
151b094d9a14d
hexe9177632bd

1001121002173 has 2 divisors, whose sum is σ = 1001121002174. Its totient is φ = 1001121002172.

The previous prime is 1001121002117. The next prime is 1001121002183. The reversal of 1001121002173 is 3712001211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 983750552964 + 17370449209 = 991842^2 + 131797^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001121002173 - 221 = 1001118905021 is a prime.

It is a super-3 number, since 3×10011210021733 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1001121002173.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001121002183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500560501086 + 500560501087.

It is an arithmetic number, because the mean of its divisors is an integer number (500560501087).

Almost surely, 21001121002173 is an apocalyptic number.

It is an amenable number.

1001121002173 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001121002173 is an equidigital number, since it uses as much as digits as its factorization.

1001121002173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 1001121002173 its reverse (3712001211001), we get a palindrome (4713122213174).

The spelling of 1001121002173 in words is "one trillion, one billion, one hundred twenty-one million, two thousand, one hundred seventy-three".