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1001102013089 is a prime number
BaseRepresentation
bin11101001000101100101…
…01000111001010100001
310112201000112001111020122
432210112111013022201
5112400224103404324
62043522214250025
7132220145465123
oct16442625071241
93481015044218
101001102013089
11356623a95712
1214202b056915
13735326a28a9
143664c94b213
151b093398a5e
hexe9165472a1

1001102013089 has 2 divisors, whose sum is σ = 1001102013090. Its totient is φ = 1001102013088.

The previous prime is 1001102013061. The next prime is 1001102013173. The reversal of 1001102013089 is 9803102011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 921187246225 + 79914766864 = 959785^2 + 282692^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001102013089 is a prime.

It is a super-2 number, since 2×10011020130892 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001102013049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500551006544 + 500551006545.

It is an arithmetic number, because the mean of its divisors is an integer number (500551006545).

Almost surely, 21001102013089 is an apocalyptic number.

It is an amenable number.

1001102013089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001102013089 is an equidigital number, since it uses as much as digits as its factorization.

1001102013089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 1001102013089 in words is "one trillion, one billion, one hundred two million, thirteen thousand, eighty-nine".