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12001002101113 is a prime number
BaseRepresentation
bin1010111010100011001101…
…1101111001100101111001
31120111021200110201010002111
42232220303131321211321
53033111023014213423
641305103444332321
72346021006514054
oct256506335714571
946437613633074
1012001002101113
113907661903243
121419a5b3a40a1
136908c71b421c
142d6bccb15a9b
1515c290db960d
hexaea33779979

12001002101113 has 2 divisors, whose sum is σ = 12001002101114. Its totient is φ = 12001002101112.

The previous prime is 12001002101059. The next prime is 12001002101149. The reversal of 12001002101113 is 31110120010021.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11831033899129 + 169968201984 = 3439627^2 + 412272^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001002101113 - 213 = 12001002092921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12001002101093 and 12001002101102.

It is not a weakly prime, because it can be changed into another prime (12001002101183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000501050556 + 6000501050557.

It is an arithmetic number, because the mean of its divisors is an integer number (6000501050557).

Almost surely, 212001002101113 is an apocalyptic number.

It is an amenable number.

12001002101113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001002101113 is an equidigital number, since it uses as much as digits as its factorization.

12001002101113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 12001002101113 its reverse (31110120010021), we get a palindrome (43111122111134).

The spelling of 12001002101113 in words is "twelve trillion, one billion, two million, one hundred one thousand, one hundred thirteen".